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Finding the Third Proportional to 31,872 and 48,432

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Solution

The third proportional to 31,872 and 48,432 is: 73,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872 : 48,432 = 48,432 : x
  2. Step 2: Convert to fraction form
    31,872/48,432 = 48,432/x
  3. Step 3: Cross multiply
    31,872x = 48,432 × 48,432
  4. Step 4: Simplify right side
    31,872x = 2,345,658,624
  5. Step 5: Solve for x
    x = 2,345,658,624/31,872
  6. Step 6: Final answer
    x = 73,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.