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Finding the Third Proportional to 31,324 and 48,578

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Solution

The third proportional to 31,324 and 48,578 is: 75,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324 : 48,578 = 48,578 : x
  2. Step 2: Convert to fraction form
    31,324/48,578 = 48,578/x
  3. Step 3: Cross multiply
    31,324x = 48,578 × 48,578
  4. Step 4: Simplify right side
    31,324x = 2,359,822,084
  5. Step 5: Solve for x
    x = 2,359,822,084/31,324
  6. Step 6: Final answer
    x = 75,335.91

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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.