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Finding the Third Proportional to 27,740 and 59,452

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Solution

The third proportional to 27,740 and 59,452 is: 127,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 59,452 = 59,452 : x
  2. Step 2: Convert to fraction form
    27,740/59,452 = 59,452/x
  3. Step 3: Cross multiply
    27,740x = 59,452 × 59,452
  4. Step 4: Simplify right side
    27,740x = 3,534,540,304
  5. Step 5: Solve for x
    x = 3,534,540,304/27,740
  6. Step 6: Final answer
    x = 127,416.74

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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.