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Finding the Third Proportional to 32,351 and 48,569

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Solution

The third proportional to 32,351 and 48,569 is: 72,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351 : 48,569 = 48,569 : x
  2. Step 2: Convert to fraction form
    32,351/48,569 = 48,569/x
  3. Step 3: Cross multiply
    32,351x = 48,569 × 48,569
  4. Step 4: Simplify right side
    32,351x = 2,358,947,761
  5. Step 5: Solve for x
    x = 2,358,947,761/32,351
  6. Step 6: Final answer
    x = 72,917.31

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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.