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Finding the Third Proportional to 30,976 and 49,233

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Solution

The third proportional to 30,976 and 49,233 is: 78,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 49,233 = 49,233 : x
  2. Step 2: Convert to fraction form
    30,976/49,233 = 49,233/x
  3. Step 3: Cross multiply
    30,976x = 49,233 × 49,233
  4. Step 4: Simplify right side
    30,976x = 2,423,888,289
  5. Step 5: Solve for x
    x = 2,423,888,289/30,976
  6. Step 6: Final answer
    x = 78,250.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.