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Finding the Third Proportional to 27,691 and 65,009

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Solution

The third proportional to 27,691 and 65,009 is: 152,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691 : 65,009 = 65,009 : x
  2. Step 2: Convert to fraction form
    27,691/65,009 = 65,009/x
  3. Step 3: Cross multiply
    27,691x = 65,009 × 65,009
  4. Step 4: Simplify right side
    27,691x = 4,226,170,081
  5. Step 5: Solve for x
    x = 4,226,170,081/27,691
  6. Step 6: Final answer
    x = 152,618.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.