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Finding the Third Proportional to 28,939 and 59,414

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Solution

The third proportional to 28,939 and 59,414 is: 121,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,939 : 59,414 = 59,414 : x
  2. Step 2: Convert to fraction form
    28,939/59,414 = 59,414/x
  3. Step 3: Cross multiply
    28,939x = 59,414 × 59,414
  4. Step 4: Simplify right side
    28,939x = 3,530,023,396
  5. Step 5: Solve for x
    x = 3,530,023,396/28,939
  6. Step 6: Final answer
    x = 121,981.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.