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Finding the Third Proportional to 1,281.23 and 2,001.59

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Solution

The third proportional to 1,281.23 and 2,001.59 is: 3,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.23 : 2,001.59 = 2,001.59 : x
  2. Step 2: Convert to fraction form
    1,281.23/2,001.59 = 2,001.59/x
  3. Step 3: Cross multiply
    1,281.23x = 2,001.59 × 2,001.59
  4. Step 4: Simplify right side
    1,281.23x = 4,006,346.27
  5. Step 5: Solve for x
    x = 4,006,346.27/1,281.23
  6. Step 6: Final answer
    x = 3,126.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.