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Finding the Third Proportional to 12,057.75 and 29,044.13

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Solution

The third proportional to 12,057.75 and 29,044.13 is: 69,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.75 : 29,044.13 = 29,044.13 : x
  2. Step 2: Convert to fraction form
    12,057.75/29,044.13 = 29,044.13/x
  3. Step 3: Cross multiply
    12,057.75x = 29,044.13 × 29,044.13
  4. Step 4: Simplify right side
    12,057.75x = 843,561,197.02
  5. Step 5: Solve for x
    x = 843,561,197.02/12,057.75
  6. Step 6: Final answer
    x = 69,960.08

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.