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Finding the Third Proportional to 2,392.50 and 5,178.75

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Solution

The third proportional to 2,392.50 and 5,178.75 is: 11,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.50 : 5,178.75 = 5,178.75 : x
  2. Step 2: Convert to fraction form
    2,392.50/5,178.75 = 5,178.75/x
  3. Step 3: Cross multiply
    2,392.50x = 5,178.75 × 5,178.75
  4. Step 4: Simplify right side
    2,392.50x = 26,819,451.56
  5. Step 5: Solve for x
    x = 26,819,451.56/2,392.50
  6. Step 6: Final answer
    x = 11,209.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.