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Finding the Third Proportional to 26,478 and 39,101

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Solution

The third proportional to 26,478 and 39,101 is: 57,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 39,101 = 39,101 : x
  2. Step 2: Convert to fraction form
    26,478/39,101 = 39,101/x
  3. Step 3: Cross multiply
    26,478x = 39,101 × 39,101
  4. Step 4: Simplify right side
    26,478x = 1,528,888,201
  5. Step 5: Solve for x
    x = 1,528,888,201/26,478
  6. Step 6: Final answer
    x = 57,741.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.