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Finding the Third Proportional to 17,283 and 26,082.75

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Solution

The third proportional to 17,283 and 26,082.75 is: 39,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283 : 26,082.75 = 26,082.75 : x
  2. Step 2: Convert to fraction form
    17,283/26,082.75 = 26,082.75/x
  3. Step 3: Cross multiply
    17,283x = 26,082.75 × 26,082.75
  4. Step 4: Simplify right side
    17,283x = 680,309,847.56
  5. Step 5: Solve for x
    x = 680,309,847.56/17,283
  6. Step 6: Final answer
    x = 39,362.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.