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Finding the Third Proportional to 7,924.50 and 11,078

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Solution

The third proportional to 7,924.50 and 11,078 is: 15,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.50 : 11,078 = 11,078 : x
  2. Step 2: Convert to fraction form
    7,924.50/11,078 = 11,078/x
  3. Step 3: Cross multiply
    7,924.50x = 11,078 × 11,078
  4. Step 4: Simplify right side
    7,924.50x = 122,722,084
  5. Step 5: Solve for x
    x = 122,722,084/7,924.50
  6. Step 6: Final answer
    x = 15,486.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.