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Finding the Third Proportional to 39,648.38 and 53,821.13

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Solution

The third proportional to 39,648.38 and 53,821.13 is: 73,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648.38 : 53,821.13 = 53,821.13 : x
  2. Step 2: Convert to fraction form
    39,648.38/53,821.13 = 53,821.13/x
  3. Step 3: Cross multiply
    39,648.38x = 53,821.13 × 53,821.13
  4. Step 4: Simplify right side
    39,648.38x = 2,896,713,496.27
  5. Step 5: Solve for x
    x = 2,896,713,496.27/39,648.38
  6. Step 6: Final answer
    x = 73,060.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.