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Finding the Third Proportional to 21,963.38 and 33,462

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Solution

The third proportional to 21,963.38 and 33,462 is: 50,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.38 : 33,462 = 33,462 : x
  2. Step 2: Convert to fraction form
    21,963.38/33,462 = 33,462/x
  3. Step 3: Cross multiply
    21,963.38x = 33,462 × 33,462
  4. Step 4: Simplify right side
    21,963.38x = 1,119,705,444
  5. Step 5: Solve for x
    x = 1,119,705,444/21,963.38
  6. Step 6: Final answer
    x = 50,980.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.