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Finding the Third Proportional to 27,567 and 59,803

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Solution

The third proportional to 27,567 and 59,803 is: 129,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 59,803 = 59,803 : x
  2. Step 2: Convert to fraction form
    27,567/59,803 = 59,803/x
  3. Step 3: Cross multiply
    27,567x = 59,803 × 59,803
  4. Step 4: Simplify right side
    27,567x = 3,576,398,809
  5. Step 5: Solve for x
    x = 3,576,398,809/27,567
  6. Step 6: Final answer
    x = 129,734.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.