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Finding the Third Proportional to 6,711.19 and 9,822.09

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Solution

The third proportional to 6,711.19 and 9,822.09 is: 14,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.19 : 9,822.09 = 9,822.09 : x
  2. Step 2: Convert to fraction form
    6,711.19/9,822.09 = 9,822.09/x
  3. Step 3: Cross multiply
    6,711.19x = 9,822.09 × 9,822.09
  4. Step 4: Simplify right side
    6,711.19x = 96,473,525.63
  5. Step 5: Solve for x
    x = 96,473,525.63/6,711.19
  6. Step 6: Final answer
    x = 14,375.03

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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.