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Finding the Third Proportional to 4,315.50 and 6,252.75

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Solution

The third proportional to 4,315.50 and 6,252.75 is: 9,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.50 : 6,252.75 = 6,252.75 : x
  2. Step 2: Convert to fraction form
    4,315.50/6,252.75 = 6,252.75/x
  3. Step 3: Cross multiply
    4,315.50x = 6,252.75 × 6,252.75
  4. Step 4: Simplify right side
    4,315.50x = 39,096,882.56
  5. Step 5: Solve for x
    x = 39,096,882.56/4,315.50
  6. Step 6: Final answer
    x = 9,059.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.