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Finding the Third Proportional to 24,826 and 54,020

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Solution

The third proportional to 24,826 and 54,020 is: 117,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826 : 54,020 = 54,020 : x
  2. Step 2: Convert to fraction form
    24,826/54,020 = 54,020/x
  3. Step 3: Cross multiply
    24,826x = 54,020 × 54,020
  4. Step 4: Simplify right side
    24,826x = 2,918,160,400
  5. Step 5: Solve for x
    x = 2,918,160,400/24,826
  6. Step 6: Final answer
    x = 117,544.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.