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Finding the Third Proportional to 32,772 and 49,432

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Solution

The third proportional to 32,772 and 49,432 is: 74,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 49,432 = 49,432 : x
  2. Step 2: Convert to fraction form
    32,772/49,432 = 49,432/x
  3. Step 3: Cross multiply
    32,772x = 49,432 × 49,432
  4. Step 4: Simplify right side
    32,772x = 2,443,522,624
  5. Step 5: Solve for x
    x = 2,443,522,624/32,772
  6. Step 6: Final answer
    x = 74,561.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.