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Finding the Third Proportional to 26,170 and 38,747

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Solution

The third proportional to 26,170 and 38,747 is: 57,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,170 : 38,747 = 38,747 : x
  2. Step 2: Convert to fraction form
    26,170/38,747 = 38,747/x
  3. Step 3: Cross multiply
    26,170x = 38,747 × 38,747
  4. Step 4: Simplify right side
    26,170x = 1,501,330,009
  5. Step 5: Solve for x
    x = 1,501,330,009/26,170
  6. Step 6: Final answer
    x = 57,368.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.