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Finding the Third Proportional to 27,684 and 57,015

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Solution

The third proportional to 27,684 and 57,015 is: 117,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 57,015 = 57,015 : x
  2. Step 2: Convert to fraction form
    27,684/57,015 = 57,015/x
  3. Step 3: Cross multiply
    27,684x = 57,015 × 57,015
  4. Step 4: Simplify right side
    27,684x = 3,250,710,225
  5. Step 5: Solve for x
    x = 3,250,710,225/27,684
  6. Step 6: Final answer
    x = 117,421.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.