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Finding the Third Proportional to 27,344 and 40,248

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Solution

The third proportional to 27,344 and 40,248 is: 59,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344 : 40,248 = 40,248 : x
  2. Step 2: Convert to fraction form
    27,344/40,248 = 40,248/x
  3. Step 3: Cross multiply
    27,344x = 40,248 × 40,248
  4. Step 4: Simplify right side
    27,344x = 1,619,901,504
  5. Step 5: Solve for x
    x = 1,619,901,504/27,344
  6. Step 6: Final answer
    x = 59,241.57

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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.