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Finding the Third Proportional to 31,460 and 47,594

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Solution

The third proportional to 31,460 and 47,594 is: 72,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460 : 47,594 = 47,594 : x
  2. Step 2: Convert to fraction form
    31,460/47,594 = 47,594/x
  3. Step 3: Cross multiply
    31,460x = 47,594 × 47,594
  4. Step 4: Simplify right side
    31,460x = 2,265,188,836
  5. Step 5: Solve for x
    x = 2,265,188,836/31,460
  6. Step 6: Final answer
    x = 72,002.19

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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.