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Finding the Third Proportional to 24,396 and 53,544

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Solution

The third proportional to 24,396 and 53,544 is: 117,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,396 : 53,544 = 53,544 : x
  2. Step 2: Convert to fraction form
    24,396/53,544 = 53,544/x
  3. Step 3: Cross multiply
    24,396x = 53,544 × 53,544
  4. Step 4: Simplify right side
    24,396x = 2,866,959,936
  5. Step 5: Solve for x
    x = 2,866,959,936/24,396
  6. Step 6: Final answer
    x = 117,517.62

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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.