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Finding the Third Proportional to 26,810 and 35,031

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Solution

The third proportional to 26,810 and 35,031 is: 45,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,810 : 35,031 = 35,031 : x
  2. Step 2: Convert to fraction form
    26,810/35,031 = 35,031/x
  3. Step 3: Cross multiply
    26,810x = 35,031 × 35,031
  4. Step 4: Simplify right side
    26,810x = 1,227,170,961
  5. Step 5: Solve for x
    x = 1,227,170,961/26,810
  6. Step 6: Final answer
    x = 45,772.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.