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Finding the Third Proportional to 2,681.75 and 4,001.88

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Solution

The third proportional to 2,681.75 and 4,001.88 is: 5,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.75 : 4,001.88 = 4,001.88 : x
  2. Step 2: Convert to fraction form
    2,681.75/4,001.88 = 4,001.88/x
  3. Step 3: Cross multiply
    2,681.75x = 4,001.88 × 4,001.88
  4. Step 4: Simplify right side
    2,681.75x = 16,015,003.52
  5. Step 5: Solve for x
    x = 16,015,003.52/2,681.75
  6. Step 6: Final answer
    x = 5,971.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.