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Finding the Third Proportional to 27,769 and 61,065

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Solution

The third proportional to 27,769 and 61,065 is: 134,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 61,065 = 61,065 : x
  2. Step 2: Convert to fraction form
    27,769/61,065 = 61,065/x
  3. Step 3: Cross multiply
    27,769x = 61,065 × 61,065
  4. Step 4: Simplify right side
    27,769x = 3,728,934,225
  5. Step 5: Solve for x
    x = 3,728,934,225/27,769
  6. Step 6: Final answer
    x = 134,284.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.