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Finding the Third Proportional to 2,660.34 and 3,913.31

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Solution

The third proportional to 2,660.34 and 3,913.31 is: 5,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.34 : 3,913.31 = 3,913.31 : x
  2. Step 2: Convert to fraction form
    2,660.34/3,913.31 = 3,913.31/x
  3. Step 3: Cross multiply
    2,660.34x = 3,913.31 × 3,913.31
  4. Step 4: Simplify right side
    2,660.34x = 15,314,014.72
  5. Step 5: Solve for x
    x = 15,314,014.72/2,660.34
  6. Step 6: Final answer
    x = 5,756.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.