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Finding the Third Proportional to 4,095 and 9,618.75

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Solution

The third proportional to 4,095 and 9,618.75 is: 22,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095 : 9,618.75 = 9,618.75 : x
  2. Step 2: Convert to fraction form
    4,095/9,618.75 = 9,618.75/x
  3. Step 3: Cross multiply
    4,095x = 9,618.75 × 9,618.75
  4. Step 4: Simplify right side
    4,095x = 92,520,351.56
  5. Step 5: Solve for x
    x = 92,520,351.56/4,095
  6. Step 6: Final answer
    x = 22,593.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.