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Finding the Third Proportional to 24,329 and 36,493.50

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Solution

The third proportional to 24,329 and 36,493.50 is: 54,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 36,493.50 = 36,493.50 : x
  2. Step 2: Convert to fraction form
    24,329/36,493.50 = 36,493.50/x
  3. Step 3: Cross multiply
    24,329x = 36,493.50 × 36,493.50
  4. Step 4: Simplify right side
    24,329x = 1,331,775,542.25
  5. Step 5: Solve for x
    x = 1,331,775,542.25/24,329
  6. Step 6: Final answer
    x = 54,740.25

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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.