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Finding the Third Proportional to 27,822 and 57,588

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Solution

The third proportional to 27,822 and 57,588 is: 119,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 57,588 = 57,588 : x
  2. Step 2: Convert to fraction form
    27,822/57,588 = 57,588/x
  3. Step 3: Cross multiply
    27,822x = 57,588 × 57,588
  4. Step 4: Simplify right side
    27,822x = 3,316,377,744
  5. Step 5: Solve for x
    x = 3,316,377,744/27,822
  6. Step 6: Final answer
    x = 119,199.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.