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Finding the Third Proportional to 24,024 and 32,068

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Solution

The third proportional to 24,024 and 32,068 is: 42,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024 : 32,068 = 32,068 : x
  2. Step 2: Convert to fraction form
    24,024/32,068 = 32,068/x
  3. Step 3: Cross multiply
    24,024x = 32,068 × 32,068
  4. Step 4: Simplify right side
    24,024x = 1,028,356,624
  5. Step 5: Solve for x
    x = 1,028,356,624/24,024
  6. Step 6: Final answer
    x = 42,805.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.