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Finding the Third Proportional to 27,408 and 61,050

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Solution

The third proportional to 27,408 and 61,050 is: 135,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 61,050 = 61,050 : x
  2. Step 2: Convert to fraction form
    27,408/61,050 = 61,050/x
  3. Step 3: Cross multiply
    27,408x = 61,050 × 61,050
  4. Step 4: Simplify right side
    27,408x = 3,727,102,500
  5. Step 5: Solve for x
    x = 3,727,102,500/27,408
  6. Step 6: Final answer
    x = 135,985.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.