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Finding the Third Proportional to 25,082 and 54,082

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Solution

The third proportional to 25,082 and 54,082 is: 116,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082 : 54,082 = 54,082 : x
  2. Step 2: Convert to fraction form
    25,082/54,082 = 54,082/x
  3. Step 3: Cross multiply
    25,082x = 54,082 × 54,082
  4. Step 4: Simplify right side
    25,082x = 2,924,862,724
  5. Step 5: Solve for x
    x = 2,924,862,724/25,082
  6. Step 6: Final answer
    x = 116,612.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.