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Finding the Third Proportional to 24,814 and 54,082

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Solution

The third proportional to 24,814 and 54,082 is: 117,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814 : 54,082 = 54,082 : x
  2. Step 2: Convert to fraction form
    24,814/54,082 = 54,082/x
  3. Step 3: Cross multiply
    24,814x = 54,082 × 54,082
  4. Step 4: Simplify right side
    24,814x = 2,924,862,724
  5. Step 5: Solve for x
    x = 2,924,862,724/24,814
  6. Step 6: Final answer
    x = 117,871.47

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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.