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Finding the Third Proportional to 26,005 and 39,237

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Solution

The third proportional to 26,005 and 39,237 is: 59,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005 : 39,237 = 39,237 : x
  2. Step 2: Convert to fraction form
    26,005/39,237 = 39,237/x
  3. Step 3: Cross multiply
    26,005x = 39,237 × 39,237
  4. Step 4: Simplify right side
    26,005x = 1,539,542,169
  5. Step 5: Solve for x
    x = 1,539,542,169/26,005
  6. Step 6: Final answer
    x = 59,201.78

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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.