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Finding the Third Proportional to 27,413 and 41,853

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Solution

The third proportional to 27,413 and 41,853 is: 63,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413 : 41,853 = 41,853 : x
  2. Step 2: Convert to fraction form
    27,413/41,853 = 41,853/x
  3. Step 3: Cross multiply
    27,413x = 41,853 × 41,853
  4. Step 4: Simplify right side
    27,413x = 1,751,673,609
  5. Step 5: Solve for x
    x = 1,751,673,609/27,413
  6. Step 6: Final answer
    x = 63,899.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.