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Finding the Third Proportional to 27,998 and 61,130

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Solution

The third proportional to 27,998 and 61,130 is: 133,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998 : 61,130 = 61,130 : x
  2. Step 2: Convert to fraction form
    27,998/61,130 = 61,130/x
  3. Step 3: Cross multiply
    27,998x = 61,130 × 61,130
  4. Step 4: Simplify right side
    27,998x = 3,736,876,900
  5. Step 5: Solve for x
    x = 3,736,876,900/27,998
  6. Step 6: Final answer
    x = 133,469.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.