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Finding the Third Proportional to 27,099 and 65,283

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Solution

The third proportional to 27,099 and 65,283 is: 157,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 65,283 = 65,283 : x
  2. Step 2: Convert to fraction form
    27,099/65,283 = 65,283/x
  3. Step 3: Cross multiply
    27,099x = 65,283 × 65,283
  4. Step 4: Simplify right side
    27,099x = 4,261,870,089
  5. Step 5: Solve for x
    x = 4,261,870,089/27,099
  6. Step 6: Final answer
    x = 157,270.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.