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Finding the Third Proportional to 21,996 and 33,784

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Solution

The third proportional to 21,996 and 33,784 is: 51,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996 : 33,784 = 33,784 : x
  2. Step 2: Convert to fraction form
    21,996/33,784 = 33,784/x
  3. Step 3: Cross multiply
    21,996x = 33,784 × 33,784
  4. Step 4: Simplify right side
    21,996x = 1,141,358,656
  5. Step 5: Solve for x
    x = 1,141,358,656/21,996
  6. Step 6: Final answer
    x = 51,889.37

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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.