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Finding the Third Proportional to 8,082.28 and 11,808.28

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Solution

The third proportional to 8,082.28 and 11,808.28 is: 17,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.28 : 11,808.28 = 11,808.28 : x
  2. Step 2: Convert to fraction form
    8,082.28/11,808.28 = 11,808.28/x
  3. Step 3: Cross multiply
    8,082.28x = 11,808.28 × 11,808.28
  4. Step 4: Simplify right side
    8,082.28x = 139,435,506.08
  5. Step 5: Solve for x
    x = 139,435,506.08/8,082.28
  6. Step 6: Final answer
    x = 17,252.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.