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Finding the Third Proportional to 31,931 and 48,340

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Solution

The third proportional to 31,931 and 48,340 is: 73,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931 : 48,340 = 48,340 : x
  2. Step 2: Convert to fraction form
    31,931/48,340 = 48,340/x
  3. Step 3: Cross multiply
    31,931x = 48,340 × 48,340
  4. Step 4: Simplify right side
    31,931x = 2,336,755,600
  5. Step 5: Solve for x
    x = 2,336,755,600/31,931
  6. Step 6: Final answer
    x = 73,181.41

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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.