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Finding the Third Proportional to 31,434 and 42,715

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Solution

The third proportional to 31,434 and 42,715 is: 58,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434 : 42,715 = 42,715 : x
  2. Step 2: Convert to fraction form
    31,434/42,715 = 42,715/x
  3. Step 3: Cross multiply
    31,434x = 42,715 × 42,715
  4. Step 4: Simplify right side
    31,434x = 1,824,571,225
  5. Step 5: Solve for x
    x = 1,824,571,225/31,434
  6. Step 6: Final answer
    x = 58,044.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.