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Finding the Third Proportional to 24,789 and 51,294

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Solution

The third proportional to 24,789 and 51,294 is: 106,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,789 : 51,294 = 51,294 : x
  2. Step 2: Convert to fraction form
    24,789/51,294 = 51,294/x
  3. Step 3: Cross multiply
    24,789x = 51,294 × 51,294
  4. Step 4: Simplify right side
    24,789x = 2,631,074,436
  5. Step 5: Solve for x
    x = 2,631,074,436/24,789
  6. Step 6: Final answer
    x = 106,138.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.