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Finding the Third Proportional to 23,070.75 and 32,991.19

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Solution

The third proportional to 23,070.75 and 32,991.19 is: 47,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.75 : 32,991.19 = 32,991.19 : x
  2. Step 2: Convert to fraction form
    23,070.75/32,991.19 = 32,991.19/x
  3. Step 3: Cross multiply
    23,070.75x = 32,991.19 × 32,991.19
  4. Step 4: Simplify right side
    23,070.75x = 1,088,418,452.66
  5. Step 5: Solve for x
    x = 1,088,418,452.66/23,070.75
  6. Step 6: Final answer
    x = 47,177.42

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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.