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Finding the Third Proportional to 27,040 and 59,408

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Solution

The third proportional to 27,040 and 59,408 is: 130,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040 : 59,408 = 59,408 : x
  2. Step 2: Convert to fraction form
    27,040/59,408 = 59,408/x
  3. Step 3: Cross multiply
    27,040x = 59,408 × 59,408
  4. Step 4: Simplify right side
    27,040x = 3,529,310,464
  5. Step 5: Solve for x
    x = 3,529,310,464/27,040
  6. Step 6: Final answer
    x = 130,521.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.