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Finding the Third Proportional to 24,162.75 and 36,578.25

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Solution

The third proportional to 24,162.75 and 36,578.25 is: 55,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.75 : 36,578.25 = 36,578.25 : x
  2. Step 2: Convert to fraction form
    24,162.75/36,578.25 = 36,578.25/x
  3. Step 3: Cross multiply
    24,162.75x = 36,578.25 × 36,578.25
  4. Step 4: Simplify right side
    24,162.75x = 1,337,968,373.06
  5. Step 5: Solve for x
    x = 1,337,968,373.06/24,162.75
  6. Step 6: Final answer
    x = 55,373.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.