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Finding the Third Proportional to 32,967 and 62,613

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Solution

The third proportional to 32,967 and 62,613 is: 118,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 62,613 = 62,613 : x
  2. Step 2: Convert to fraction form
    32,967/62,613 = 62,613/x
  3. Step 3: Cross multiply
    32,967x = 62,613 × 62,613
  4. Step 4: Simplify right side
    32,967x = 3,920,387,769
  5. Step 5: Solve for x
    x = 3,920,387,769/32,967
  6. Step 6: Final answer
    x = 118,918.55

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.