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Finding the Third Proportional to 3,223.55 and 4,349.11

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Solution

The third proportional to 3,223.55 and 4,349.11 is: 5,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.55 : 4,349.11 = 4,349.11 : x
  2. Step 2: Convert to fraction form
    3,223.55/4,349.11 = 4,349.11/x
  3. Step 3: Cross multiply
    3,223.55x = 4,349.11 × 4,349.11
  4. Step 4: Simplify right side
    3,223.55x = 18,914,752.36
  5. Step 5: Solve for x
    x = 18,914,752.36/3,223.55
  6. Step 6: Final answer
    x = 5,867.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.