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Finding the Third Proportional to 29,113 and 44,210

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Solution

The third proportional to 29,113 and 44,210 is: 67,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,113 : 44,210 = 44,210 : x
  2. Step 2: Convert to fraction form
    29,113/44,210 = 44,210/x
  3. Step 3: Cross multiply
    29,113x = 44,210 × 44,210
  4. Step 4: Simplify right side
    29,113x = 1,954,524,100
  5. Step 5: Solve for x
    x = 1,954,524,100/29,113
  6. Step 6: Final answer
    x = 67,135.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.