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Finding the Third Proportional to 2,287.50 and 4,921.75

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Solution

The third proportional to 2,287.50 and 4,921.75 is: 10,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.50 : 4,921.75 = 4,921.75 : x
  2. Step 2: Convert to fraction form
    2,287.50/4,921.75 = 4,921.75/x
  3. Step 3: Cross multiply
    2,287.50x = 4,921.75 × 4,921.75
  4. Step 4: Simplify right side
    2,287.50x = 24,223,623.06
  5. Step 5: Solve for x
    x = 24,223,623.06/2,287.50
  6. Step 6: Final answer
    x = 10,589.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.