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Finding the Third Proportional to 26,008 and 39,270

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Solution

The third proportional to 26,008 and 39,270 is: 59,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,008 : 39,270 = 39,270 : x
  2. Step 2: Convert to fraction form
    26,008/39,270 = 39,270/x
  3. Step 3: Cross multiply
    26,008x = 39,270 × 39,270
  4. Step 4: Simplify right side
    26,008x = 1,542,132,900
  5. Step 5: Solve for x
    x = 1,542,132,900/26,008
  6. Step 6: Final answer
    x = 59,294.56

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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.