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Finding the Third Proportional to 26,086 and 37,169

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Solution

The third proportional to 26,086 and 37,169 is: 52,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086 : 37,169 = 37,169 : x
  2. Step 2: Convert to fraction form
    26,086/37,169 = 37,169/x
  3. Step 3: Cross multiply
    26,086x = 37,169 × 37,169
  4. Step 4: Simplify right side
    26,086x = 1,381,534,561
  5. Step 5: Solve for x
    x = 1,381,534,561/26,086
  6. Step 6: Final answer
    x = 52,960.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.