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Finding the Third Proportional to 12,850.52 and 29,747.14

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Solution

The third proportional to 12,850.52 and 29,747.14 is: 68,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.52 : 29,747.14 = 29,747.14 : x
  2. Step 2: Convert to fraction form
    12,850.52/29,747.14 = 29,747.14/x
  3. Step 3: Cross multiply
    12,850.52x = 29,747.14 × 29,747.14
  4. Step 4: Simplify right side
    12,850.52x = 884,892,607.76
  5. Step 5: Solve for x
    x = 884,892,607.76/12,850.52
  6. Step 6: Final answer
    x = 68,860.43

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.