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Finding the Third Proportional to 24,584 and 53,414

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Solution

The third proportional to 24,584 and 53,414 is: 116,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584 : 53,414 = 53,414 : x
  2. Step 2: Convert to fraction form
    24,584/53,414 = 53,414/x
  3. Step 3: Cross multiply
    24,584x = 53,414 × 53,414
  4. Step 4: Simplify right side
    24,584x = 2,853,055,396
  5. Step 5: Solve for x
    x = 2,853,055,396/24,584
  6. Step 6: Final answer
    x = 116,053.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.