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Finding the Third Proportional to 27,652 and 59,184

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Solution

The third proportional to 27,652 and 59,184 is: 126,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 59,184 = 59,184 : x
  2. Step 2: Convert to fraction form
    27,652/59,184 = 59,184/x
  3. Step 3: Cross multiply
    27,652x = 59,184 × 59,184
  4. Step 4: Simplify right side
    27,652x = 3,502,745,856
  5. Step 5: Solve for x
    x = 3,502,745,856/27,652
  6. Step 6: Final answer
    x = 126,672.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.