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Finding the Third Proportional to 26,082.50 and 56,215

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Solution

The third proportional to 26,082.50 and 56,215 is: 121,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082.50 : 56,215 = 56,215 : x
  2. Step 2: Convert to fraction form
    26,082.50/56,215 = 56,215/x
  3. Step 3: Cross multiply
    26,082.50x = 56,215 × 56,215
  4. Step 4: Simplify right side
    26,082.50x = 3,160,126,225
  5. Step 5: Solve for x
    x = 3,160,126,225/26,082.50
  6. Step 6: Final answer
    x = 121,158.87

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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.