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Finding the Third Proportional to 27,740 and 59,856

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Solution

The third proportional to 27,740 and 59,856 is: 129,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 59,856 = 59,856 : x
  2. Step 2: Convert to fraction form
    27,740/59,856 = 59,856/x
  3. Step 3: Cross multiply
    27,740x = 59,856 × 59,856
  4. Step 4: Simplify right side
    27,740x = 3,582,740,736
  5. Step 5: Solve for x
    x = 3,582,740,736/27,740
  6. Step 6: Final answer
    x = 129,154.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.