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Finding the Third Proportional to 38,053.13 and 81,776.25

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Solution

The third proportional to 38,053.13 and 81,776.25 is: 175,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.13 : 81,776.25 = 81,776.25 : x
  2. Step 2: Convert to fraction form
    38,053.13/81,776.25 = 81,776.25/x
  3. Step 3: Cross multiply
    38,053.13x = 81,776.25 × 81,776.25
  4. Step 4: Simplify right side
    38,053.13x = 6,687,355,064.06
  5. Step 5: Solve for x
    x = 6,687,355,064.06/38,053.13
  6. Step 6: Final answer
    x = 175,737.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.