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Finding the Third Proportional to 2,660.34 and 5,849.72

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Solution

The third proportional to 2,660.34 and 5,849.72 is: 12,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.34 : 5,849.72 = 5,849.72 : x
  2. Step 2: Convert to fraction form
    2,660.34/5,849.72 = 5,849.72/x
  3. Step 3: Cross multiply
    2,660.34x = 5,849.72 × 5,849.72
  4. Step 4: Simplify right side
    2,660.34x = 34,219,209.45
  5. Step 5: Solve for x
    x = 34,219,209.45/2,660.34
  6. Step 6: Final answer
    x = 12,862.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.