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Finding the Third Proportional to 49,082.50 and 66,549

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Solution

The third proportional to 49,082.50 and 66,549 is: 90,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,082.50 : 66,549 = 66,549 : x
  2. Step 2: Convert to fraction form
    49,082.50/66,549 = 66,549/x
  3. Step 3: Cross multiply
    49,082.50x = 66,549 × 66,549
  4. Step 4: Simplify right side
    49,082.50x = 4,428,769,401
  5. Step 5: Solve for x
    x = 4,428,769,401/49,082.50
  6. Step 6: Final answer
    x = 90,231.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.