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Finding the Third Proportional to 31,160 and 48,376

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Solution

The third proportional to 31,160 and 48,376 is: 75,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160 : 48,376 = 48,376 : x
  2. Step 2: Convert to fraction form
    31,160/48,376 = 48,376/x
  3. Step 3: Cross multiply
    31,160x = 48,376 × 48,376
  4. Step 4: Simplify right side
    31,160x = 2,340,237,376
  5. Step 5: Solve for x
    x = 2,340,237,376/31,160
  6. Step 6: Final answer
    x = 75,103.90

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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.