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Finding the Third Proportional to 9,082.97 and 14,162.34

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Solution

The third proportional to 9,082.97 and 14,162.34 is: 22,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.97 : 14,162.34 = 14,162.34 : x
  2. Step 2: Convert to fraction form
    9,082.97/14,162.34 = 14,162.34/x
  3. Step 3: Cross multiply
    9,082.97x = 14,162.34 × 14,162.34
  4. Step 4: Simplify right side
    9,082.97x = 200,571,980.49
  5. Step 5: Solve for x
    x = 200,571,980.49/9,082.97
  6. Step 6: Final answer
    x = 22,082.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.