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Finding the Third Proportional to 24,768 and 54,052

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Solution

The third proportional to 24,768 and 54,052 is: 117,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 54,052 = 54,052 : x
  2. Step 2: Convert to fraction form
    24,768/54,052 = 54,052/x
  3. Step 3: Cross multiply
    24,768x = 54,052 × 54,052
  4. Step 4: Simplify right side
    24,768x = 2,921,618,704
  5. Step 5: Solve for x
    x = 2,921,618,704/24,768
  6. Step 6: Final answer
    x = 117,959.41

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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.