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Finding the Third Proportional to 24,924 and 53,864

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Solution

The third proportional to 24,924 and 53,864 is: 116,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 53,864 = 53,864 : x
  2. Step 2: Convert to fraction form
    24,924/53,864 = 53,864/x
  3. Step 3: Cross multiply
    24,924x = 53,864 × 53,864
  4. Step 4: Simplify right side
    24,924x = 2,901,330,496
  5. Step 5: Solve for x
    x = 2,901,330,496/24,924
  6. Step 6: Final answer
    x = 116,407.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.