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Finding the Third Proportional to 24,036 and 52,748

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Solution

The third proportional to 24,036 and 52,748 is: 115,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036 : 52,748 = 52,748 : x
  2. Step 2: Convert to fraction form
    24,036/52,748 = 52,748/x
  3. Step 3: Cross multiply
    24,036x = 52,748 × 52,748
  4. Step 4: Simplify right side
    24,036x = 2,782,351,504
  5. Step 5: Solve for x
    x = 2,782,351,504/24,036
  6. Step 6: Final answer
    x = 115,757.68

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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.