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Finding the Third Proportional to 27,147 and 36,031.50

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Solution

The third proportional to 27,147 and 36,031.50 is: 47,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147 : 36,031.50 = 36,031.50 : x
  2. Step 2: Convert to fraction form
    27,147/36,031.50 = 36,031.50/x
  3. Step 3: Cross multiply
    27,147x = 36,031.50 × 36,031.50
  4. Step 4: Simplify right side
    27,147x = 1,298,268,992.25
  5. Step 5: Solve for x
    x = 1,298,268,992.25/27,147
  6. Step 6: Final answer
    x = 47,823.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.