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Finding the Third Proportional to 24,246 and 36,274.50

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Solution

The third proportional to 24,246 and 36,274.50 is: 54,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246 : 36,274.50 = 36,274.50 : x
  2. Step 2: Convert to fraction form
    24,246/36,274.50 = 36,274.50/x
  3. Step 3: Cross multiply
    24,246x = 36,274.50 × 36,274.50
  4. Step 4: Simplify right side
    24,246x = 1,315,839,350.25
  5. Step 5: Solve for x
    x = 1,315,839,350.25/24,246
  6. Step 6: Final answer
    x = 54,270.37

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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.