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Finding the Third Proportional to 24,837 and 54,042

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Solution

The third proportional to 24,837 and 54,042 is: 117,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 54,042 = 54,042 : x
  2. Step 2: Convert to fraction form
    24,837/54,042 = 54,042/x
  3. Step 3: Cross multiply
    24,837x = 54,042 × 54,042
  4. Step 4: Simplify right side
    24,837x = 2,920,537,764
  5. Step 5: Solve for x
    x = 2,920,537,764/24,837
  6. Step 6: Final answer
    x = 117,588.19

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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.