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Finding the Third Proportional to 31,460 and 47,593

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Solution

The third proportional to 31,460 and 47,593 is: 71,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460 : 47,593 = 47,593 : x
  2. Step 2: Convert to fraction form
    31,460/47,593 = 47,593/x
  3. Step 3: Cross multiply
    31,460x = 47,593 × 47,593
  4. Step 4: Simplify right side
    31,460x = 2,265,093,649
  5. Step 5: Solve for x
    x = 2,265,093,649/31,460
  6. Step 6: Final answer
    x = 71,999.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.