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Finding the Third Proportional to 3,335.69 and 7,186.81

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Solution

The third proportional to 3,335.69 and 7,186.81 is: 15,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.69 : 7,186.81 = 7,186.81 : x
  2. Step 2: Convert to fraction form
    3,335.69/7,186.81 = 7,186.81/x
  3. Step 3: Cross multiply
    3,335.69x = 7,186.81 × 7,186.81
  4. Step 4: Simplify right side
    3,335.69x = 51,650,273.91
  5. Step 5: Solve for x
    x = 51,650,273.91/3,335.69
  6. Step 6: Final answer
    x = 15,484.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.