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Finding the Third Proportional to 26,450 and 39,511

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Solution

The third proportional to 26,450 and 39,511 is: 59,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450 : 39,511 = 39,511 : x
  2. Step 2: Convert to fraction form
    26,450/39,511 = 39,511/x
  3. Step 3: Cross multiply
    26,450x = 39,511 × 39,511
  4. Step 4: Simplify right side
    26,450x = 1,561,119,121
  5. Step 5: Solve for x
    x = 1,561,119,121/26,450
  6. Step 6: Final answer
    x = 59,021.52

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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.