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Finding the Third Proportional to 23,070.19 and 32,990.34

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Solution

The third proportional to 23,070.19 and 32,990.34 is: 47,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.19 : 32,990.34 = 32,990.34 : x
  2. Step 2: Convert to fraction form
    23,070.19/32,990.34 = 32,990.34/x
  3. Step 3: Cross multiply
    23,070.19x = 32,990.34 × 32,990.34
  4. Step 4: Simplify right side
    23,070.19x = 1,088,362,780.74
  5. Step 5: Solve for x
    x = 1,088,362,780.74/23,070.19
  6. Step 6: Final answer
    x = 47,176.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.