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Finding the Third Proportional to 15,462 and 33,822

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Solution

The third proportional to 15,462 and 33,822 is: 73,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462 : 33,822 = 33,822 : x
  2. Step 2: Convert to fraction form
    15,462/33,822 = 33,822/x
  3. Step 3: Cross multiply
    15,462x = 33,822 × 33,822
  4. Step 4: Simplify right side
    15,462x = 1,143,927,684
  5. Step 5: Solve for x
    x = 1,143,927,684/15,462
  6. Step 6: Final answer
    x = 73,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.