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Finding the Third Proportional to 7,508.75 and 10,180.75

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Solution

The third proportional to 7,508.75 and 10,180.75 is: 13,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.75 : 10,180.75 = 10,180.75 : x
  2. Step 2: Convert to fraction form
    7,508.75/10,180.75 = 10,180.75/x
  3. Step 3: Cross multiply
    7,508.75x = 10,180.75 × 10,180.75
  4. Step 4: Simplify right side
    7,508.75x = 103,647,670.56
  5. Step 5: Solve for x
    x = 103,647,670.56/7,508.75
  6. Step 6: Final answer
    x = 13,803.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.