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Finding the Third Proportional to 31,854 and 49,119

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Solution

The third proportional to 31,854 and 49,119 is: 75,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 49,119 = 49,119 : x
  2. Step 2: Convert to fraction form
    31,854/49,119 = 49,119/x
  3. Step 3: Cross multiply
    31,854x = 49,119 × 49,119
  4. Step 4: Simplify right side
    31,854x = 2,412,676,161
  5. Step 5: Solve for x
    x = 2,412,676,161/31,854
  6. Step 6: Final answer
    x = 75,741.70

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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.