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Finding the Third Proportional to 27,973 and 60,817

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Solution

The third proportional to 27,973 and 60,817 is: 132,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973 : 60,817 = 60,817 : x
  2. Step 2: Convert to fraction form
    27,973/60,817 = 60,817/x
  3. Step 3: Cross multiply
    27,973x = 60,817 × 60,817
  4. Step 4: Simplify right side
    27,973x = 3,698,707,489
  5. Step 5: Solve for x
    x = 3,698,707,489/27,973
  6. Step 6: Final answer
    x = 132,224.20

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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.