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Finding the Third Proportional to 2,250.94 and 3,595.88

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Solution

The third proportional to 2,250.94 and 3,595.88 is: 5,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.94 : 3,595.88 = 3,595.88 : x
  2. Step 2: Convert to fraction form
    2,250.94/3,595.88 = 3,595.88/x
  3. Step 3: Cross multiply
    2,250.94x = 3,595.88 × 3,595.88
  4. Step 4: Simplify right side
    2,250.94x = 12,930,317.02
  5. Step 5: Solve for x
    x = 12,930,317.02/2,250.94
  6. Step 6: Final answer
    x = 5,744.41

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.