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Finding the Third Proportional to 31,371 and 48,909

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Solution

The third proportional to 31,371 and 48,909 is: 76,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371 : 48,909 = 48,909 : x
  2. Step 2: Convert to fraction form
    31,371/48,909 = 48,909/x
  3. Step 3: Cross multiply
    31,371x = 48,909 × 48,909
  4. Step 4: Simplify right side
    31,371x = 2,392,090,281
  5. Step 5: Solve for x
    x = 2,392,090,281/31,371
  6. Step 6: Final answer
    x = 76,251.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.