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Finding the Third Proportional to 25,876 and 40,082

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Solution

The third proportional to 25,876 and 40,082 is: 62,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876 : 40,082 = 40,082 : x
  2. Step 2: Convert to fraction form
    25,876/40,082 = 40,082/x
  3. Step 3: Cross multiply
    25,876x = 40,082 × 40,082
  4. Step 4: Simplify right side
    25,876x = 1,606,566,724
  5. Step 5: Solve for x
    x = 1,606,566,724/25,876
  6. Step 6: Final answer
    x = 62,087.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.