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Finding the Third Proportional to 40,702.75 and 86,781.88

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Solution

The third proportional to 40,702.75 and 86,781.88 is: 185,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.75 : 86,781.88 = 86,781.88 : x
  2. Step 2: Convert to fraction form
    40,702.75/86,781.88 = 86,781.88/x
  3. Step 3: Cross multiply
    40,702.75x = 86,781.88 × 86,781.88
  4. Step 4: Simplify right side
    40,702.75x = 7,531,093,828.52
  5. Step 5: Solve for x
    x = 7,531,093,828.52/40,702.75
  6. Step 6: Final answer
    x = 185,026.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.