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Finding the Third Proportional to 3,347.50 and 4,472.25

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Solution

The third proportional to 3,347.50 and 4,472.25 is: 5,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.50 : 4,472.25 = 4,472.25 : x
  2. Step 2: Convert to fraction form
    3,347.50/4,472.25 = 4,472.25/x
  3. Step 3: Cross multiply
    3,347.50x = 4,472.25 × 4,472.25
  4. Step 4: Simplify right side
    3,347.50x = 20,001,020.06
  5. Step 5: Solve for x
    x = 20,001,020.06/3,347.50
  6. Step 6: Final answer
    x = 5,974.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.