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Finding the Third Proportional to 27,344 and 39,101

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Solution

The third proportional to 27,344 and 39,101 is: 55,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344 : 39,101 = 39,101 : x
  2. Step 2: Convert to fraction form
    27,344/39,101 = 39,101/x
  3. Step 3: Cross multiply
    27,344x = 39,101 × 39,101
  4. Step 4: Simplify right side
    27,344x = 1,528,888,201
  5. Step 5: Solve for x
    x = 1,528,888,201/27,344
  6. Step 6: Final answer
    x = 55,913.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.