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Finding the Third Proportional to 29,876 and 40,596

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Solution

The third proportional to 29,876 and 40,596 is: 55,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876 : 40,596 = 40,596 : x
  2. Step 2: Convert to fraction form
    29,876/40,596 = 40,596/x
  3. Step 3: Cross multiply
    29,876x = 40,596 × 40,596
  4. Step 4: Simplify right side
    29,876x = 1,648,035,216
  5. Step 5: Solve for x
    x = 1,648,035,216/29,876
  6. Step 6: Final answer
    x = 55,162.51

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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.