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Finding the Third Proportional to 12,822 and 27,588

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Solution

The third proportional to 12,822 and 27,588 is: 59,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 27,588 = 27,588 : x
  2. Step 2: Convert to fraction form
    12,822/27,588 = 27,588/x
  3. Step 3: Cross multiply
    12,822x = 27,588 × 27,588
  4. Step 4: Simplify right side
    12,822x = 761,097,744
  5. Step 5: Solve for x
    x = 761,097,744/12,822
  6. Step 6: Final answer
    x = 59,358.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.