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Finding the Third Proportional to 40,290.75 and 62,781.75

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Solution

The third proportional to 40,290.75 and 62,781.75 is: 97,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,290.75 : 62,781.75 = 62,781.75 : x
  2. Step 2: Convert to fraction form
    40,290.75/62,781.75 = 62,781.75/x
  3. Step 3: Cross multiply
    40,290.75x = 62,781.75 × 62,781.75
  4. Step 4: Simplify right side
    40,290.75x = 3,941,548,133.06
  5. Step 5: Solve for x
    x = 3,941,548,133.06/40,290.75
  6. Step 6: Final answer
    x = 97,827.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.