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Finding the Third Proportional to 3,251 and 4,898.75

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Solution

The third proportional to 3,251 and 4,898.75 is: 7,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 4,898.75 = 4,898.75 : x
  2. Step 2: Convert to fraction form
    3,251/4,898.75 = 4,898.75/x
  3. Step 3: Cross multiply
    3,251x = 4,898.75 × 4,898.75
  4. Step 4: Simplify right side
    3,251x = 23,997,751.56
  5. Step 5: Solve for x
    x = 23,997,751.56/3,251
  6. Step 6: Final answer
    x = 7,381.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.