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Finding the Third Proportional to 23,131 and 49,541

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Solution

The third proportional to 23,131 and 49,541 is: 106,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131 : 49,541 = 49,541 : x
  2. Step 2: Convert to fraction form
    23,131/49,541 = 49,541/x
  3. Step 3: Cross multiply
    23,131x = 49,541 × 49,541
  4. Step 4: Simplify right side
    23,131x = 2,454,310,681
  5. Step 5: Solve for x
    x = 2,454,310,681/23,131
  6. Step 6: Final answer
    x = 106,104.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.