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Finding the Third Proportional to 1,845.28 and 4,036.55

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Solution

The third proportional to 1,845.28 and 4,036.55 is: 8,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.28 : 4,036.55 = 4,036.55 : x
  2. Step 2: Convert to fraction form
    1,845.28/4,036.55 = 4,036.55/x
  3. Step 3: Cross multiply
    1,845.28x = 4,036.55 × 4,036.55
  4. Step 4: Simplify right side
    1,845.28x = 16,293,757.98
  5. Step 5: Solve for x
    x = 16,293,757.98/1,845.28
  6. Step 6: Final answer
    x = 8,829.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.