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Finding the Third Proportional to 24,372 and 36,454.50

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Solution

The third proportional to 24,372 and 36,454.50 is: 54,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372 : 36,454.50 = 36,454.50 : x
  2. Step 2: Convert to fraction form
    24,372/36,454.50 = 36,454.50/x
  3. Step 3: Cross multiply
    24,372x = 36,454.50 × 36,454.50
  4. Step 4: Simplify right side
    24,372x = 1,328,930,570.25
  5. Step 5: Solve for x
    x = 1,328,930,570.25/24,372
  6. Step 6: Final answer
    x = 54,526.94

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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.