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Finding the Third Proportional to 6,511.13 and 10,698.38

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Solution

The third proportional to 6,511.13 and 10,698.38 is: 17,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.13 : 10,698.38 = 10,698.38 : x
  2. Step 2: Convert to fraction form
    6,511.13/10,698.38 = 10,698.38/x
  3. Step 3: Cross multiply
    6,511.13x = 10,698.38 × 10,698.38
  4. Step 4: Simplify right side
    6,511.13x = 114,455,227.64
  5. Step 5: Solve for x
    x = 114,455,227.64/6,511.13
  6. Step 6: Final answer
    x = 17,578.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.