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Finding the Third Proportional to 10,149.05 and 15,943.08

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Solution

The third proportional to 10,149.05 and 15,943.08 is: 25,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.05 : 15,943.08 = 15,943.08 : x
  2. Step 2: Convert to fraction form
    10,149.05/15,943.08 = 15,943.08/x
  3. Step 3: Cross multiply
    10,149.05x = 15,943.08 × 15,943.08
  4. Step 4: Simplify right side
    10,149.05x = 254,181,740.10
  5. Step 5: Solve for x
    x = 254,181,740.10/10,149.05
  6. Step 6: Final answer
    x = 25,044.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.