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Finding the Third Proportional to 27,653 and 59,186

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Solution

The third proportional to 27,653 and 59,186 is: 126,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653 : 59,186 = 59,186 : x
  2. Step 2: Convert to fraction form
    27,653/59,186 = 59,186/x
  3. Step 3: Cross multiply
    27,653x = 59,186 × 59,186
  4. Step 4: Simplify right side
    27,653x = 3,502,982,596
  5. Step 5: Solve for x
    x = 3,502,982,596/27,653
  6. Step 6: Final answer
    x = 126,676.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.