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Finding the Third Proportional to 27,188 and 39,733

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Solution

The third proportional to 27,188 and 39,733 is: 58,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188 : 39,733 = 39,733 : x
  2. Step 2: Convert to fraction form
    27,188/39,733 = 39,733/x
  3. Step 3: Cross multiply
    27,188x = 39,733 × 39,733
  4. Step 4: Simplify right side
    27,188x = 1,578,711,289
  5. Step 5: Solve for x
    x = 1,578,711,289/27,188
  6. Step 6: Final answer
    x = 58,066.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.