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Finding the Third Proportional to 31,838 and 49,214

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Solution

The third proportional to 31,838 and 49,214 is: 76,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838 : 49,214 = 49,214 : x
  2. Step 2: Convert to fraction form
    31,838/49,214 = 49,214/x
  3. Step 3: Cross multiply
    31,838x = 49,214 × 49,214
  4. Step 4: Simplify right side
    31,838x = 2,422,017,796
  5. Step 5: Solve for x
    x = 2,422,017,796/31,838
  6. Step 6: Final answer
    x = 76,073.18

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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.