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Finding the Third Proportional to 31,368 and 48,957

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Solution

The third proportional to 31,368 and 48,957 is: 76,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368 : 48,957 = 48,957 : x
  2. Step 2: Convert to fraction form
    31,368/48,957 = 48,957/x
  3. Step 3: Cross multiply
    31,368x = 48,957 × 48,957
  4. Step 4: Simplify right side
    31,368x = 2,396,787,849
  5. Step 5: Solve for x
    x = 2,396,787,849/31,368
  6. Step 6: Final answer
    x = 76,408.69

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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.