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Finding the Third Proportional to 31,306 and 48,550

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Solution

The third proportional to 31,306 and 48,550 is: 75,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306 : 48,550 = 48,550 : x
  2. Step 2: Convert to fraction form
    31,306/48,550 = 48,550/x
  3. Step 3: Cross multiply
    31,306x = 48,550 × 48,550
  4. Step 4: Simplify right side
    31,306x = 2,357,102,500
  5. Step 5: Solve for x
    x = 2,357,102,500/31,306
  6. Step 6: Final answer
    x = 75,292.36

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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.