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Finding the Third Proportional to 26,012 and 39,201

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Solution

The third proportional to 26,012 and 39,201 is: 59,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012 : 39,201 = 39,201 : x
  2. Step 2: Convert to fraction form
    26,012/39,201 = 39,201/x
  3. Step 3: Cross multiply
    26,012x = 39,201 × 39,201
  4. Step 4: Simplify right side
    26,012x = 1,536,718,401
  5. Step 5: Solve for x
    x = 1,536,718,401/26,012
  6. Step 6: Final answer
    x = 59,077.29

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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.