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Finding the Third Proportional to 2,784.38 and 3,988.69

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Solution

The third proportional to 2,784.38 and 3,988.69 is: 5,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 3,988.69 = 3,988.69 : x
  2. Step 2: Convert to fraction form
    2,784.38/3,988.69 = 3,988.69/x
  3. Step 3: Cross multiply
    2,784.38x = 3,988.69 × 3,988.69
  4. Step 4: Simplify right side
    2,784.38x = 15,909,627.97
  5. Step 5: Solve for x
    x = 15,909,627.97/2,784.38
  6. Step 6: Final answer
    x = 5,713.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.