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Finding the Third Proportional to 24,058 and 32,774

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Solution

The third proportional to 24,058 and 32,774 is: 44,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,058 : 32,774 = 32,774 : x
  2. Step 2: Convert to fraction form
    24,058/32,774 = 32,774/x
  3. Step 3: Cross multiply
    24,058x = 32,774 × 32,774
  4. Step 4: Simplify right side
    24,058x = 1,074,135,076
  5. Step 5: Solve for x
    x = 1,074,135,076/24,058
  6. Step 6: Final answer
    x = 44,647.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.