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Finding the Third Proportional to 6,886.69 and 10,945.13

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Solution

The third proportional to 6,886.69 and 10,945.13 is: 17,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.69 : 10,945.13 = 10,945.13 : x
  2. Step 2: Convert to fraction form
    6,886.69/10,945.13 = 10,945.13/x
  3. Step 3: Cross multiply
    6,886.69x = 10,945.13 × 10,945.13
  4. Step 4: Simplify right side
    6,886.69x = 119,795,761.27
  5. Step 5: Solve for x
    x = 119,795,761.27/6,886.69
  6. Step 6: Final answer
    x = 17,395.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.