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Finding the Third Proportional to 24,624 and 53,864

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Solution

The third proportional to 24,624 and 53,864 is: 117,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 53,864 = 53,864 : x
  2. Step 2: Convert to fraction form
    24,624/53,864 = 53,864/x
  3. Step 3: Cross multiply
    24,624x = 53,864 × 53,864
  4. Step 4: Simplify right side
    24,624x = 2,901,330,496
  5. Step 5: Solve for x
    x = 2,901,330,496/24,624
  6. Step 6: Final answer
    x = 117,825.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.