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Finding the Third Proportional to 2,147.34 and 3,281.34

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Solution

The third proportional to 2,147.34 and 3,281.34 is: 5,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.34 : 3,281.34 = 3,281.34 : x
  2. Step 2: Convert to fraction form
    2,147.34/3,281.34 = 3,281.34/x
  3. Step 3: Cross multiply
    2,147.34x = 3,281.34 × 3,281.34
  4. Step 4: Simplify right side
    2,147.34x = 10,767,216.81
  5. Step 5: Solve for x
    x = 10,767,216.81/2,147.34
  6. Step 6: Final answer
    x = 5,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.