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Finding the Third Proportional to 38,703.92 and 59,817.16

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Solution

The third proportional to 38,703.92 and 59,817.16 is: 92,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,703.92 : 59,817.16 = 59,817.16 : x
  2. Step 2: Convert to fraction form
    38,703.92/59,817.16 = 59,817.16/x
  3. Step 3: Cross multiply
    38,703.92x = 59,817.16 × 59,817.16
  4. Step 4: Simplify right side
    38,703.92x = 3,578,092,065.01
  5. Step 5: Solve for x
    x = 3,578,092,065.01/38,703.92
  6. Step 6: Final answer
    x = 92,447.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.