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Finding the Third Proportional to 31,957 and 48,380

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Solution

The third proportional to 31,957 and 48,380 is: 73,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957 : 48,380 = 48,380 : x
  2. Step 2: Convert to fraction form
    31,957/48,380 = 48,380/x
  3. Step 3: Cross multiply
    31,957x = 48,380 × 48,380
  4. Step 4: Simplify right side
    31,957x = 2,340,624,400
  5. Step 5: Solve for x
    x = 2,340,624,400/31,957
  6. Step 6: Final answer
    x = 73,242.93

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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.