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Finding the Third Proportional to 6,869.81 and 9,859.22

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Solution

The third proportional to 6,869.81 and 9,859.22 is: 14,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.81 : 9,859.22 = 9,859.22 : x
  2. Step 2: Convert to fraction form
    6,869.81/9,859.22 = 9,859.22/x
  3. Step 3: Cross multiply
    6,869.81x = 9,859.22 × 9,859.22
  4. Step 4: Simplify right side
    6,869.81x = 97,204,194.36
  5. Step 5: Solve for x
    x = 97,204,194.36/6,869.81
  6. Step 6: Final answer
    x = 14,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.