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Finding the Third Proportional to 26,109 and 42,039

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Solution

The third proportional to 26,109 and 42,039 is: 67,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,109 : 42,039 = 42,039 : x
  2. Step 2: Convert to fraction form
    26,109/42,039 = 42,039/x
  3. Step 3: Cross multiply
    26,109x = 42,039 × 42,039
  4. Step 4: Simplify right side
    26,109x = 1,767,277,521
  5. Step 5: Solve for x
    x = 1,767,277,521/26,109
  6. Step 6: Final answer
    x = 67,688.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.