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Finding the Third Proportional to 32,513 and 44,161

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Solution

The third proportional to 32,513 and 44,161 is: 59,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513 : 44,161 = 44,161 : x
  2. Step 2: Convert to fraction form
    32,513/44,161 = 44,161/x
  3. Step 3: Cross multiply
    32,513x = 44,161 × 44,161
  4. Step 4: Simplify right side
    32,513x = 1,950,193,921
  5. Step 5: Solve for x
    x = 1,950,193,921/32,513
  6. Step 6: Final answer
    x = 59,981.97

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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.