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Finding the Third Proportional to 32,524 and 66,464

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Solution

The third proportional to 32,524 and 66,464 is: 135,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524 : 66,464 = 66,464 : x
  2. Step 2: Convert to fraction form
    32,524/66,464 = 66,464/x
  3. Step 3: Cross multiply
    32,524x = 66,464 × 66,464
  4. Step 4: Simplify right side
    32,524x = 4,417,463,296
  5. Step 5: Solve for x
    x = 4,417,463,296/32,524
  6. Step 6: Final answer
    x = 135,821.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.