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Finding the Third Proportional to 9,675 and 23,161.50

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Solution

The third proportional to 9,675 and 23,161.50 is: 55,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 23,161.50 = 23,161.50 : x
  2. Step 2: Convert to fraction form
    9,675/23,161.50 = 23,161.50/x
  3. Step 3: Cross multiply
    9,675x = 23,161.50 × 23,161.50
  4. Step 4: Simplify right side
    9,675x = 536,455,082.25
  5. Step 5: Solve for x
    x = 536,455,082.25/9,675
  6. Step 6: Final answer
    x = 55,447.55

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.