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Finding the Third Proportional to 24,612 and 36,943.50

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Solution

The third proportional to 24,612 and 36,943.50 is: 55,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612 : 36,943.50 = 36,943.50 : x
  2. Step 2: Convert to fraction form
    24,612/36,943.50 = 36,943.50/x
  3. Step 3: Cross multiply
    24,612x = 36,943.50 × 36,943.50
  4. Step 4: Simplify right side
    24,612x = 1,364,822,192.25
  5. Step 5: Solve for x
    x = 1,364,822,192.25/24,612
  6. Step 6: Final answer
    x = 55,453.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.