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Finding the Third Proportional to 1,350.28 and 2,926.69

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Solution

The third proportional to 1,350.28 and 2,926.69 is: 6,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.28 : 2,926.69 = 2,926.69 : x
  2. Step 2: Convert to fraction form
    1,350.28/2,926.69 = 2,926.69/x
  3. Step 3: Cross multiply
    1,350.28x = 2,926.69 × 2,926.69
  4. Step 4: Simplify right side
    1,350.28x = 8,565,499.72
  5. Step 5: Solve for x
    x = 8,565,499.72/1,350.28
  6. Step 6: Final answer
    x = 6,343.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.