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Finding the Third Proportional to 3,223.55 and 4,732.80

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Solution

The third proportional to 3,223.55 and 4,732.80 is: 6,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.55 : 4,732.80 = 4,732.80 : x
  2. Step 2: Convert to fraction form
    3,223.55/4,732.80 = 4,732.80/x
  3. Step 3: Cross multiply
    3,223.55x = 4,732.80 × 4,732.80
  4. Step 4: Simplify right side
    3,223.55x = 22,399,440.21
  5. Step 5: Solve for x
    x = 22,399,440.21/3,223.55
  6. Step 6: Final answer
    x = 6,948.69

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Why These Related Problems?

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