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Finding the Third Proportional to 36,465 and 60,531

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Solution

The third proportional to 36,465 and 60,531 is: 100,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,465 : 60,531 = 60,531 : x
  2. Step 2: Convert to fraction form
    36,465/60,531 = 60,531/x
  3. Step 3: Cross multiply
    36,465x = 60,531 × 60,531
  4. Step 4: Simplify right side
    36,465x = 3,664,001,961
  5. Step 5: Solve for x
    x = 3,664,001,961/36,465
  6. Step 6: Final answer
    x = 100,479.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.