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Finding the Third Proportional to 5,901.75 and 6,306.19

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Solution

The third proportional to 5,901.75 and 6,306.19 is: 6,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.75 : 6,306.19 = 6,306.19 : x
  2. Step 2: Convert to fraction form
    5,901.75/6,306.19 = 6,306.19/x
  3. Step 3: Cross multiply
    5,901.75x = 6,306.19 × 6,306.19
  4. Step 4: Simplify right side
    5,901.75x = 39,768,000.79
  5. Step 5: Solve for x
    x = 39,768,000.79/5,901.75
  6. Step 6: Final answer
    x = 6,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.