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Finding the Third Proportional to 38,702.81 and 84,781.69

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Solution

The third proportional to 38,702.81 and 84,781.69 is: 185,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.81 : 84,781.69 = 84,781.69 : x
  2. Step 2: Convert to fraction form
    38,702.81/84,781.69 = 84,781.69/x
  3. Step 3: Cross multiply
    38,702.81x = 84,781.69 × 84,781.69
  4. Step 4: Simplify right side
    38,702.81x = 7,187,934,535.35
  5. Step 5: Solve for x
    x = 7,187,934,535.35/38,702.81
  6. Step 6: Final answer
    x = 185,721.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.