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Finding the Third Proportional to 27,286 and 42,055

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Solution

The third proportional to 27,286 and 42,055 is: 64,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286 : 42,055 = 42,055 : x
  2. Step 2: Convert to fraction form
    27,286/42,055 = 42,055/x
  3. Step 3: Cross multiply
    27,286x = 42,055 × 42,055
  4. Step 4: Simplify right side
    27,286x = 1,768,623,025
  5. Step 5: Solve for x
    x = 1,768,623,025/27,286
  6. Step 6: Final answer
    x = 64,817.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.