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Finding the Third Proportional to 3,781.69 and 5,499.14

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Solution

The third proportional to 3,781.69 and 5,499.14 is: 7,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 5,499.14 = 5,499.14 : x
  2. Step 2: Convert to fraction form
    3,781.69/5,499.14 = 5,499.14/x
  3. Step 3: Cross multiply
    3,781.69x = 5,499.14 × 5,499.14
  4. Step 4: Simplify right side
    3,781.69x = 30,240,547.61
  5. Step 5: Solve for x
    x = 30,240,547.61/3,781.69
  6. Step 6: Final answer
    x = 7,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.