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Finding the Third Proportional to 15,740.42 and 34,018.10

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Solution

The third proportional to 15,740.42 and 34,018.10 is: 73,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.42 : 34,018.10 = 34,018.10 : x
  2. Step 2: Convert to fraction form
    15,740.42/34,018.10 = 34,018.10/x
  3. Step 3: Cross multiply
    15,740.42x = 34,018.10 × 34,018.10
  4. Step 4: Simplify right side
    15,740.42x = 1,157,231,233.92
  5. Step 5: Solve for x
    x = 1,157,231,233.92/15,740.42
  6. Step 6: Final answer
    x = 73,519.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.