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Finding the Third Proportional to 32,632 and 62,669

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Solution

The third proportional to 32,632 and 62,669 is: 120,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632 : 62,669 = 62,669 : x
  2. Step 2: Convert to fraction form
    32,632/62,669 = 62,669/x
  3. Step 3: Cross multiply
    32,632x = 62,669 × 62,669
  4. Step 4: Simplify right side
    32,632x = 3,927,403,561
  5. Step 5: Solve for x
    x = 3,927,403,561/32,632
  6. Step 6: Final answer
    x = 120,354.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.