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Finding the Third Proportional to 24,059 and 36,052

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Solution

The third proportional to 24,059 and 36,052 is: 54,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059 : 36,052 = 36,052 : x
  2. Step 2: Convert to fraction form
    24,059/36,052 = 36,052/x
  3. Step 3: Cross multiply
    24,059x = 36,052 × 36,052
  4. Step 4: Simplify right side
    24,059x = 1,299,746,704
  5. Step 5: Solve for x
    x = 1,299,746,704/24,059
  6. Step 6: Final answer
    x = 54,023.31

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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.