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Finding the Third Proportional to 27,086 and 38,613

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Solution

The third proportional to 27,086 and 38,613 is: 55,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086 : 38,613 = 38,613 : x
  2. Step 2: Convert to fraction form
    27,086/38,613 = 38,613/x
  3. Step 3: Cross multiply
    27,086x = 38,613 × 38,613
  4. Step 4: Simplify right side
    27,086x = 1,490,963,769
  5. Step 5: Solve for x
    x = 1,490,963,769/27,086
  6. Step 6: Final answer
    x = 55,045.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.