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Finding the Third Proportional to 6,469.88 and 10,666.69

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Solution

The third proportional to 6,469.88 and 10,666.69 is: 17,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.88 : 10,666.69 = 10,666.69 : x
  2. Step 2: Convert to fraction form
    6,469.88/10,666.69 = 10,666.69/x
  3. Step 3: Cross multiply
    6,469.88x = 10,666.69 × 10,666.69
  4. Step 4: Simplify right side
    6,469.88x = 113,778,222.22
  5. Step 5: Solve for x
    x = 113,778,222.22/6,469.88
  6. Step 6: Final answer
    x = 17,585.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.