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Finding the Third Proportional to 32,660 and 48,863

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Solution

The third proportional to 32,660 and 48,863 is: 73,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660 : 48,863 = 48,863 : x
  2. Step 2: Convert to fraction form
    32,660/48,863 = 48,863/x
  3. Step 3: Cross multiply
    32,660x = 48,863 × 48,863
  4. Step 4: Simplify right side
    32,660x = 2,387,592,769
  5. Step 5: Solve for x
    x = 2,387,592,769/32,660
  6. Step 6: Final answer
    x = 73,104.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.