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Finding the Third Proportional to 5,194.13 and 9,856.69

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Solution

The third proportional to 5,194.13 and 9,856.69 is: 18,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 9,856.69 = 9,856.69 : x
  2. Step 2: Convert to fraction form
    5,194.13/9,856.69 = 9,856.69/x
  3. Step 3: Cross multiply
    5,194.13x = 9,856.69 × 9,856.69
  4. Step 4: Simplify right side
    5,194.13x = 97,154,288.47
  5. Step 5: Solve for x
    x = 97,154,288.47/5,194.13
  6. Step 6: Final answer
    x = 18,704.65

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.