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Finding the Third Proportional to 40,186.13 and 64,531.69

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Solution

The third proportional to 40,186.13 and 64,531.69 is: 103,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.13 : 64,531.69 = 64,531.69 : x
  2. Step 2: Convert to fraction form
    40,186.13/64,531.69 = 64,531.69/x
  3. Step 3: Cross multiply
    40,186.13x = 64,531.69 × 64,531.69
  4. Step 4: Simplify right side
    40,186.13x = 4,164,338,691.60
  5. Step 5: Solve for x
    x = 4,164,338,691.60/40,186.13
  6. Step 6: Final answer
    x = 103,626.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.