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Finding the Third Proportional to 3,551 and 5,306.25

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Solution

The third proportional to 3,551 and 5,306.25 is: 7,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551 : 5,306.25 = 5,306.25 : x
  2. Step 2: Convert to fraction form
    3,551/5,306.25 = 5,306.25/x
  3. Step 3: Cross multiply
    3,551x = 5,306.25 × 5,306.25
  4. Step 4: Simplify right side
    3,551x = 28,156,289.06
  5. Step 5: Solve for x
    x = 28,156,289.06/3,551
  6. Step 6: Final answer
    x = 7,929.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.