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Finding the Third Proportional to 32,144 and 48,026

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Solution

The third proportional to 32,144 and 48,026 is: 71,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144 : 48,026 = 48,026 : x
  2. Step 2: Convert to fraction form
    32,144/48,026 = 48,026/x
  3. Step 3: Cross multiply
    32,144x = 48,026 × 48,026
  4. Step 4: Simplify right side
    32,144x = 2,306,496,676
  5. Step 5: Solve for x
    x = 2,306,496,676/32,144
  6. Step 6: Final answer
    x = 71,755.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.