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Finding the Third Proportional to 27,218.25 and 40,827.38

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Solution

The third proportional to 27,218.25 and 40,827.38 is: 61,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218.25 : 40,827.38 = 40,827.38 : x
  2. Step 2: Convert to fraction form
    27,218.25/40,827.38 = 40,827.38/x
  3. Step 3: Cross multiply
    27,218.25x = 40,827.38 × 40,827.38
  4. Step 4: Simplify right side
    27,218.25x = 1,666,874,549.39
  5. Step 5: Solve for x
    x = 1,666,874,549.39/27,218.25
  6. Step 6: Final answer
    x = 61,241.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.