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Finding the Third Proportional to 38,036.25 and 57,061.13

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Solution

The third proportional to 38,036.25 and 57,061.13 is: 85,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.25 : 57,061.13 = 57,061.13 : x
  2. Step 2: Convert to fraction form
    38,036.25/57,061.13 = 57,061.13/x
  3. Step 3: Cross multiply
    38,036.25x = 57,061.13 × 57,061.13
  4. Step 4: Simplify right side
    38,036.25x = 3,255,971,986.27
  5. Step 5: Solve for x
    x = 3,255,971,986.27/38,036.25
  6. Step 6: Final answer
    x = 85,601.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.