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Finding the Third Proportional to 31,122 and 49,497

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Solution

The third proportional to 31,122 and 49,497 is: 78,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 49,497 = 49,497 : x
  2. Step 2: Convert to fraction form
    31,122/49,497 = 49,497/x
  3. Step 3: Cross multiply
    31,122x = 49,497 × 49,497
  4. Step 4: Simplify right side
    31,122x = 2,449,953,009
  5. Step 5: Solve for x
    x = 2,449,953,009/31,122
  6. Step 6: Final answer
    x = 78,720.94

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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.