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Finding the Third Proportional to 15,142.78 and 31,041.14

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Solution

The third proportional to 15,142.78 and 31,041.14 is: 63,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.78 : 31,041.14 = 31,041.14 : x
  2. Step 2: Convert to fraction form
    15,142.78/31,041.14 = 31,041.14/x
  3. Step 3: Cross multiply
    15,142.78x = 31,041.14 × 31,041.14
  4. Step 4: Simplify right side
    15,142.78x = 963,552,411.30
  5. Step 5: Solve for x
    x = 963,552,411.30/15,142.78
  6. Step 6: Final answer
    x = 63,631.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.