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Finding the Third Proportional to 7,006.30 and 11,677.17

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Solution

The third proportional to 7,006.30 and 11,677.17 is: 19,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.30 : 11,677.17 = 11,677.17 : x
  2. Step 2: Convert to fraction form
    7,006.30/11,677.17 = 11,677.17/x
  3. Step 3: Cross multiply
    7,006.30x = 11,677.17 × 11,677.17
  4. Step 4: Simplify right side
    7,006.30x = 136,356,308.79
  5. Step 5: Solve for x
    x = 136,356,308.79/7,006.30
  6. Step 6: Final answer
    x = 19,461.95

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.