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Finding the Third Proportional to 49,422 and 76,497

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Solution

The third proportional to 49,422 and 76,497 is: 118,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,422 : 76,497 = 76,497 : x
  2. Step 2: Convert to fraction form
    49,422/76,497 = 76,497/x
  3. Step 3: Cross multiply
    49,422x = 76,497 × 76,497
  4. Step 4: Simplify right side
    49,422x = 5,851,791,009
  5. Step 5: Solve for x
    x = 5,851,791,009/49,422
  6. Step 6: Final answer
    x = 118,404.58

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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.