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Finding the Third Proportional to 26,006 and 35,538

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Solution

The third proportional to 26,006 and 35,538 is: 48,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006 : 35,538 = 35,538 : x
  2. Step 2: Convert to fraction form
    26,006/35,538 = 35,538/x
  3. Step 3: Cross multiply
    26,006x = 35,538 × 35,538
  4. Step 4: Simplify right side
    26,006x = 1,262,949,444
  5. Step 5: Solve for x
    x = 1,262,949,444/26,006
  6. Step 6: Final answer
    x = 48,563.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.