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Finding the Third Proportional to 1,359 and 2,041.88

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Solution

The third proportional to 1,359 and 2,041.88 is: 3,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359 : 2,041.88 = 2,041.88 : x
  2. Step 2: Convert to fraction form
    1,359/2,041.88 = 2,041.88/x
  3. Step 3: Cross multiply
    1,359x = 2,041.88 × 2,041.88
  4. Step 4: Simplify right side
    1,359x = 4,169,253.52
  5. Step 5: Solve for x
    x = 4,169,253.52/1,359
  6. Step 6: Final answer
    x = 3,067.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.