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Finding the Third Proportional to 5,027.63 and 6,036.75

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Solution

The third proportional to 5,027.63 and 6,036.75 is: 7,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.63 : 6,036.75 = 6,036.75 : x
  2. Step 2: Convert to fraction form
    5,027.63/6,036.75 = 6,036.75/x
  3. Step 3: Cross multiply
    5,027.63x = 6,036.75 × 6,036.75
  4. Step 4: Simplify right side
    5,027.63x = 36,442,350.56
  5. Step 5: Solve for x
    x = 36,442,350.56/5,027.63
  6. Step 6: Final answer
    x = 7,248.42

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.