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Finding the Third Proportional to 27,803 and 59,926

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Solution

The third proportional to 27,803 and 59,926 is: 129,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803 : 59,926 = 59,926 : x
  2. Step 2: Convert to fraction form
    27,803/59,926 = 59,926/x
  3. Step 3: Cross multiply
    27,803x = 59,926 × 59,926
  4. Step 4: Simplify right side
    27,803x = 3,591,125,476
  5. Step 5: Solve for x
    x = 3,591,125,476/27,803
  6. Step 6: Final answer
    x = 129,163.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.