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Finding the Third Proportional to 2,680.59 and 4,020.89

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Solution

The third proportional to 2,680.59 and 4,020.89 is: 6,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.59 : 4,020.89 = 4,020.89 : x
  2. Step 2: Convert to fraction form
    2,680.59/4,020.89 = 4,020.89/x
  3. Step 3: Cross multiply
    2,680.59x = 4,020.89 × 4,020.89
  4. Step 4: Simplify right side
    2,680.59x = 16,167,561.42
  5. Step 5: Solve for x
    x = 16,167,561.42/2,680.59
  6. Step 6: Final answer
    x = 6,031.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.