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Finding the Third Proportional to 3,511.13 and 7,681.69

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Solution

The third proportional to 3,511.13 and 7,681.69 is: 16,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.13 : 7,681.69 = 7,681.69 : x
  2. Step 2: Convert to fraction form
    3,511.13/7,681.69 = 7,681.69/x
  3. Step 3: Cross multiply
    3,511.13x = 7,681.69 × 7,681.69
  4. Step 4: Simplify right side
    3,511.13x = 59,008,322.85
  5. Step 5: Solve for x
    x = 59,008,322.85/3,511.13
  6. Step 6: Final answer
    x = 16,806.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.