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Finding the Third Proportional to 13,805.44 and 29,456.16

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Solution

The third proportional to 13,805.44 and 29,456.16 is: 62,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.44 : 29,456.16 = 29,456.16 : x
  2. Step 2: Convert to fraction form
    13,805.44/29,456.16 = 29,456.16/x
  3. Step 3: Cross multiply
    13,805.44x = 29,456.16 × 29,456.16
  4. Step 4: Simplify right side
    13,805.44x = 867,665,141.02
  5. Step 5: Solve for x
    x = 867,665,141.02/13,805.44
  6. Step 6: Final answer
    x = 62,849.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.