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Finding the Third Proportional to 8,247.00 and 11,677.17

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Solution

The third proportional to 8,247.00 and 11,677.17 is: 16,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.00 : 11,677.17 = 11,677.17 : x
  2. Step 2: Convert to fraction form
    8,247.00/11,677.17 = 11,677.17/x
  3. Step 3: Cross multiply
    8,247.00x = 11,677.17 × 11,677.17
  4. Step 4: Simplify right side
    8,247.00x = 136,356,308.79
  5. Step 5: Solve for x
    x = 136,356,308.79/8,247.00
  6. Step 6: Final answer
    x = 16,534.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.