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Finding the Third Proportional to 26,003 and 38,830

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Solution

The third proportional to 26,003 and 38,830 is: 57,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003 : 38,830 = 38,830 : x
  2. Step 2: Convert to fraction form
    26,003/38,830 = 38,830/x
  3. Step 3: Cross multiply
    26,003x = 38,830 × 38,830
  4. Step 4: Simplify right side
    26,003x = 1,507,768,900
  5. Step 5: Solve for x
    x = 1,507,768,900/26,003
  6. Step 6: Final answer
    x = 57,984.42

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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.