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Finding the Third Proportional to 19,919 and 27,065

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Solution

The third proportional to 19,919 and 27,065 is: 36,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919 : 27,065 = 27,065 : x
  2. Step 2: Convert to fraction form
    19,919/27,065 = 27,065/x
  3. Step 3: Cross multiply
    19,919x = 27,065 × 27,065
  4. Step 4: Simplify right side
    19,919x = 732,514,225
  5. Step 5: Solve for x
    x = 732,514,225/19,919
  6. Step 6: Final answer
    x = 36,774.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.