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Finding the Third Proportional to 31,264 and 48,416

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Solution

The third proportional to 31,264 and 48,416 is: 74,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264 : 48,416 = 48,416 : x
  2. Step 2: Convert to fraction form
    31,264/48,416 = 48,416/x
  3. Step 3: Cross multiply
    31,264x = 48,416 × 48,416
  4. Step 4: Simplify right side
    31,264x = 2,344,109,056
  5. Step 5: Solve for x
    x = 2,344,109,056/31,264
  6. Step 6: Final answer
    x = 74,977.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.