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Finding the Third Proportional to 11,939 and 26,065

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Solution

The third proportional to 11,939 and 26,065 is: 56,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939 : 26,065 = 26,065 : x
  2. Step 2: Convert to fraction form
    11,939/26,065 = 26,065/x
  3. Step 3: Cross multiply
    11,939x = 26,065 × 26,065
  4. Step 4: Simplify right side
    11,939x = 679,384,225
  5. Step 5: Solve for x
    x = 679,384,225/11,939
  6. Step 6: Final answer
    x = 56,904.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.