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Finding the Third Proportional to 1,027.15 and 1,538.95

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Solution

The third proportional to 1,027.15 and 1,538.95 is: 2,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.15 : 1,538.95 = 1,538.95 : x
  2. Step 2: Convert to fraction form
    1,027.15/1,538.95 = 1,538.95/x
  3. Step 3: Cross multiply
    1,027.15x = 1,538.95 × 1,538.95
  4. Step 4: Simplify right side
    1,027.15x = 2,368,376.72
  5. Step 5: Solve for x
    x = 2,368,376.72/1,027.15
  6. Step 6: Final answer
    x = 2,305.78

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Why These Related Problems?

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