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Finding the Third Proportional to 6,715.88 and 11,806.13

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Solution

The third proportional to 6,715.88 and 11,806.13 is: 20,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.88 : 11,806.13 = 11,806.13 : x
  2. Step 2: Convert to fraction form
    6,715.88/11,806.13 = 11,806.13/x
  3. Step 3: Cross multiply
    6,715.88x = 11,806.13 × 11,806.13
  4. Step 4: Simplify right side
    6,715.88x = 139,384,587.52
  5. Step 5: Solve for x
    x = 139,384,587.52/6,715.88
  6. Step 6: Final answer
    x = 20,754.49

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.