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Finding the Third Proportional to 31,701 and 49,060

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Solution

The third proportional to 31,701 and 49,060 is: 75,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701 : 49,060 = 49,060 : x
  2. Step 2: Convert to fraction form
    31,701/49,060 = 49,060/x
  3. Step 3: Cross multiply
    31,701x = 49,060 × 49,060
  4. Step 4: Simplify right side
    31,701x = 2,406,883,600
  5. Step 5: Solve for x
    x = 2,406,883,600/31,701
  6. Step 6: Final answer
    x = 75,924.53

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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.