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Finding the Third Proportional to 31,462 and 47,597

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Solution

The third proportional to 31,462 and 47,597 is: 72,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462 : 47,597 = 47,597 : x
  2. Step 2: Convert to fraction form
    31,462/47,597 = 47,597/x
  3. Step 3: Cross multiply
    31,462x = 47,597 × 47,597
  4. Step 4: Simplify right side
    31,462x = 2,265,474,409
  5. Step 5: Solve for x
    x = 2,265,474,409/31,462
  6. Step 6: Final answer
    x = 72,006.69

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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.