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Finding the Third Proportional to 27,514 and 59,636

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Solution

The third proportional to 27,514 and 59,636 is: 129,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514 : 59,636 = 59,636 : x
  2. Step 2: Convert to fraction form
    27,514/59,636 = 59,636/x
  3. Step 3: Cross multiply
    27,514x = 59,636 × 59,636
  4. Step 4: Simplify right side
    27,514x = 3,556,452,496
  5. Step 5: Solve for x
    x = 3,556,452,496/27,514
  6. Step 6: Final answer
    x = 129,259.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.