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Finding the Third Proportional to 27,769 and 65,486

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Solution

The third proportional to 27,769 and 65,486 is: 154,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 65,486 = 65,486 : x
  2. Step 2: Convert to fraction form
    27,769/65,486 = 65,486/x
  3. Step 3: Cross multiply
    27,769x = 65,486 × 65,486
  4. Step 4: Simplify right side
    27,769x = 4,288,416,196
  5. Step 5: Solve for x
    x = 4,288,416,196/27,769
  6. Step 6: Final answer
    x = 154,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.