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Finding the Third Proportional to 31,860 and 49,127

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Solution

The third proportional to 31,860 and 49,127 is: 75,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860 : 49,127 = 49,127 : x
  2. Step 2: Convert to fraction form
    31,860/49,127 = 49,127/x
  3. Step 3: Cross multiply
    31,860x = 49,127 × 49,127
  4. Step 4: Simplify right side
    31,860x = 2,413,462,129
  5. Step 5: Solve for x
    x = 2,413,462,129/31,860
  6. Step 6: Final answer
    x = 75,752.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.