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Finding the Third Proportional to 31,769 and 48,320

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Solution

The third proportional to 31,769 and 48,320 is: 73,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769 : 48,320 = 48,320 : x
  2. Step 2: Convert to fraction form
    31,769/48,320 = 48,320/x
  3. Step 3: Cross multiply
    31,769x = 48,320 × 48,320
  4. Step 4: Simplify right side
    31,769x = 2,334,822,400
  5. Step 5: Solve for x
    x = 2,334,822,400/31,769
  6. Step 6: Final answer
    x = 73,493.73

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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.