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Finding the Third Proportional to 26,471 and 37,102

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Solution

The third proportional to 26,471 and 37,102 is: 52,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471 : 37,102 = 37,102 : x
  2. Step 2: Convert to fraction form
    26,471/37,102 = 37,102/x
  3. Step 3: Cross multiply
    26,471x = 37,102 × 37,102
  4. Step 4: Simplify right side
    26,471x = 1,376,558,404
  5. Step 5: Solve for x
    x = 1,376,558,404/26,471
  6. Step 6: Final answer
    x = 52,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.