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Finding the Third Proportional to 23,070.02 and 32,990.10

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Solution

The third proportional to 23,070.02 and 32,990.10 is: 47,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.02 : 32,990.10 = 32,990.10 : x
  2. Step 2: Convert to fraction form
    23,070.02/32,990.10 = 32,990.10/x
  3. Step 3: Cross multiply
    23,070.02x = 32,990.10 × 32,990.10
  4. Step 4: Simplify right side
    23,070.02x = 1,088,346,543.37
  5. Step 5: Solve for x
    x = 1,088,346,543.37/23,070.02
  6. Step 6: Final answer
    x = 47,175.79

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