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Finding the Third Proportional to 2,481 and 3,633.75

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Solution

The third proportional to 2,481 and 3,633.75 is: 5,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481 : 3,633.75 = 3,633.75 : x
  2. Step 2: Convert to fraction form
    2,481/3,633.75 = 3,633.75/x
  3. Step 3: Cross multiply
    2,481x = 3,633.75 × 3,633.75
  4. Step 4: Simplify right side
    2,481x = 13,204,139.06
  5. Step 5: Solve for x
    x = 13,204,139.06/2,481
  6. Step 6: Final answer
    x = 5,322.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.