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Finding the Third Proportional to 31,525 and 48,880

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Solution

The third proportional to 31,525 and 48,880 is: 75,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525 : 48,880 = 48,880 : x
  2. Step 2: Convert to fraction form
    31,525/48,880 = 48,880/x
  3. Step 3: Cross multiply
    31,525x = 48,880 × 48,880
  4. Step 4: Simplify right side
    31,525x = 2,389,254,400
  5. Step 5: Solve for x
    x = 2,389,254,400/31,525
  6. Step 6: Final answer
    x = 75,789.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.