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Finding the Third Proportional to 24,061.50 and 49,647

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Solution

The third proportional to 24,061.50 and 49,647 is: 102,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061.50 : 49,647 = 49,647 : x
  2. Step 2: Convert to fraction form
    24,061.50/49,647 = 49,647/x
  3. Step 3: Cross multiply
    24,061.50x = 49,647 × 49,647
  4. Step 4: Simplify right side
    24,061.50x = 2,464,824,609
  5. Step 5: Solve for x
    x = 2,464,824,609/24,061.50
  6. Step 6: Final answer
    x = 102,438.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.