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Finding the Third Proportional to 20,332 and 32,469

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Solution

The third proportional to 20,332 and 32,469 is: 51,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332 : 32,469 = 32,469 : x
  2. Step 2: Convert to fraction form
    20,332/32,469 = 32,469/x
  3. Step 3: Cross multiply
    20,332x = 32,469 × 32,469
  4. Step 4: Simplify right side
    20,332x = 1,054,235,961
  5. Step 5: Solve for x
    x = 1,054,235,961/20,332
  6. Step 6: Final answer
    x = 51,851.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.