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Finding the Third Proportional to 25,926 and 39,127

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Solution

The third proportional to 25,926 and 39,127 is: 59,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926 : 39,127 = 39,127 : x
  2. Step 2: Convert to fraction form
    25,926/39,127 = 39,127/x
  3. Step 3: Cross multiply
    25,926x = 39,127 × 39,127
  4. Step 4: Simplify right side
    25,926x = 1,530,922,129
  5. Step 5: Solve for x
    x = 1,530,922,129/25,926
  6. Step 6: Final answer
    x = 59,049.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.