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Finding the Third Proportional to 1,529.86 and 2,294.02

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Solution

The third proportional to 1,529.86 and 2,294.02 is: 3,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.86 : 2,294.02 = 2,294.02 : x
  2. Step 2: Convert to fraction form
    1,529.86/2,294.02 = 2,294.02/x
  3. Step 3: Cross multiply
    1,529.86x = 2,294.02 × 2,294.02
  4. Step 4: Simplify right side
    1,529.86x = 5,262,507.69
  5. Step 5: Solve for x
    x = 5,262,507.69/1,529.86
  6. Step 6: Final answer
    x = 3,439.86

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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.