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Finding the Third Proportional to 26,003 and 39,977

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Solution

The third proportional to 26,003 and 39,977 is: 61,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003 : 39,977 = 39,977 : x
  2. Step 2: Convert to fraction form
    26,003/39,977 = 39,977/x
  3. Step 3: Cross multiply
    26,003x = 39,977 × 39,977
  4. Step 4: Simplify right side
    26,003x = 1,598,160,529
  5. Step 5: Solve for x
    x = 1,598,160,529/26,003
  6. Step 6: Final answer
    x = 61,460.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.