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Finding the Third Proportional to 2,869.59 and 4,040.72

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Solution

The third proportional to 2,869.59 and 4,040.72 is: 5,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.59 : 4,040.72 = 4,040.72 : x
  2. Step 2: Convert to fraction form
    2,869.59/4,040.72 = 4,040.72/x
  3. Step 3: Cross multiply
    2,869.59x = 4,040.72 × 4,040.72
  4. Step 4: Simplify right side
    2,869.59x = 16,327,408.02
  5. Step 5: Solve for x
    x = 16,327,408.02/2,869.59
  6. Step 6: Final answer
    x = 5,689.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.