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Finding the Third Proportional to 26,233 and 34,502

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Solution

The third proportional to 26,233 and 34,502 is: 45,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,233 : 34,502 = 34,502 : x
  2. Step 2: Convert to fraction form
    26,233/34,502 = 34,502/x
  3. Step 3: Cross multiply
    26,233x = 34,502 × 34,502
  4. Step 4: Simplify right side
    26,233x = 1,190,388,004
  5. Step 5: Solve for x
    x = 1,190,388,004/26,233
  6. Step 6: Final answer
    x = 45,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.