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Finding the Third Proportional to 27,326 and 40,065

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Solution

The third proportional to 27,326 and 40,065 is: 58,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,326 : 40,065 = 40,065 : x
  2. Step 2: Convert to fraction form
    27,326/40,065 = 40,065/x
  3. Step 3: Cross multiply
    27,326x = 40,065 × 40,065
  4. Step 4: Simplify right side
    27,326x = 1,605,204,225
  5. Step 5: Solve for x
    x = 1,605,204,225/27,326
  6. Step 6: Final answer
    x = 58,742.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.