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Finding the Third Proportional to 57,727.69 and 82,549.13

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Solution

The third proportional to 57,727.69 and 82,549.13 is: 118,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727.69 : 82,549.13 = 82,549.13 : x
  2. Step 2: Convert to fraction form
    57,727.69/82,549.13 = 82,549.13/x
  3. Step 3: Cross multiply
    57,727.69x = 82,549.13 × 82,549.13
  4. Step 4: Simplify right side
    57,727.69x = 6,814,358,038.27
  5. Step 5: Solve for x
    x = 6,814,358,038.27/57,727.69
  6. Step 6: Final answer
    x = 118,043.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.