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Finding the Third Proportional to 6,886.69 and 13,591.13

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Solution

The third proportional to 6,886.69 and 13,591.13 is: 26,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.69 : 13,591.13 = 13,591.13 : x
  2. Step 2: Convert to fraction form
    6,886.69/13,591.13 = 13,591.13/x
  3. Step 3: Cross multiply
    6,886.69x = 13,591.13 × 13,591.13
  4. Step 4: Simplify right side
    6,886.69x = 184,718,678.77
  5. Step 5: Solve for x
    x = 184,718,678.77/6,886.69
  6. Step 6: Final answer
    x = 26,822.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.