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Finding the Third Proportional to 31,342 and 47,017

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Solution

The third proportional to 31,342 and 47,017 is: 70,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342 : 47,017 = 47,017 : x
  2. Step 2: Convert to fraction form
    31,342/47,017 = 47,017/x
  3. Step 3: Cross multiply
    31,342x = 47,017 × 47,017
  4. Step 4: Simplify right side
    31,342x = 2,210,598,289
  5. Step 5: Solve for x
    x = 2,210,598,289/31,342
  6. Step 6: Final answer
    x = 70,531.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.