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Finding the Third Proportional to 1,468.13 and 3,829.78

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Solution

The third proportional to 1,468.13 and 3,829.78 is: 9,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.13 : 3,829.78 = 3,829.78 : x
  2. Step 2: Convert to fraction form
    1,468.13/3,829.78 = 3,829.78/x
  3. Step 3: Cross multiply
    1,468.13x = 3,829.78 × 3,829.78
  4. Step 4: Simplify right side
    1,468.13x = 14,667,224.42
  5. Step 5: Solve for x
    x = 14,667,224.42/1,468.13
  6. Step 6: Final answer
    x = 9,990.45

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.