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Finding the Third Proportional to 26,496 and 39,608

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Solution

The third proportional to 26,496 and 39,608 is: 59,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 39,608 = 39,608 : x
  2. Step 2: Convert to fraction form
    26,496/39,608 = 39,608/x
  3. Step 3: Cross multiply
    26,496x = 39,608 × 39,608
  4. Step 4: Simplify right side
    26,496x = 1,568,793,664
  5. Step 5: Solve for x
    x = 1,568,793,664/26,496
  6. Step 6: Final answer
    x = 59,208.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.