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Finding the Third Proportional to 6,706.69 and 14,565.56

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Solution

The third proportional to 6,706.69 and 14,565.56 is: 31,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.69 : 14,565.56 = 14,565.56 : x
  2. Step 2: Convert to fraction form
    6,706.69/14,565.56 = 14,565.56/x
  3. Step 3: Cross multiply
    6,706.69x = 14,565.56 × 14,565.56
  4. Step 4: Simplify right side
    6,706.69x = 212,155,610.94
  5. Step 5: Solve for x
    x = 212,155,610.94/6,706.69
  6. Step 6: Final answer
    x = 31,633.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.