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Finding the Third Proportional to 27,573 and 59,813

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Solution

The third proportional to 27,573 and 59,813 is: 129,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573 : 59,813 = 59,813 : x
  2. Step 2: Convert to fraction form
    27,573/59,813 = 59,813/x
  3. Step 3: Cross multiply
    27,573x = 59,813 × 59,813
  4. Step 4: Simplify right side
    27,573x = 3,577,594,969
  5. Step 5: Solve for x
    x = 3,577,594,969/27,573
  6. Step 6: Final answer
    x = 129,749.94

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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.