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Finding the Third Proportional to 24,512 and 32,586

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Solution

The third proportional to 24,512 and 32,586 is: 43,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512 : 32,586 = 32,586 : x
  2. Step 2: Convert to fraction form
    24,512/32,586 = 32,586/x
  3. Step 3: Cross multiply
    24,512x = 32,586 × 32,586
  4. Step 4: Simplify right side
    24,512x = 1,061,847,396
  5. Step 5: Solve for x
    x = 1,061,847,396/24,512
  6. Step 6: Final answer
    x = 43,319.49

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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.