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Finding the Third Proportional to 9,379 and 22,139

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Solution

The third proportional to 9,379 and 22,139 is: 52,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379 : 22,139 = 22,139 : x
  2. Step 2: Convert to fraction form
    9,379/22,139 = 22,139/x
  3. Step 3: Cross multiply
    9,379x = 22,139 × 22,139
  4. Step 4: Simplify right side
    9,379x = 490,135,321
  5. Step 5: Solve for x
    x = 490,135,321/9,379
  6. Step 6: Final answer
    x = 52,258.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.