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Finding the Third Proportional to 21,414.38 and 33,340.36

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Solution

The third proportional to 21,414.38 and 33,340.36 is: 51,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.38 : 33,340.36 = 33,340.36 : x
  2. Step 2: Convert to fraction form
    21,414.38/33,340.36 = 33,340.36/x
  3. Step 3: Cross multiply
    21,414.38x = 33,340.36 × 33,340.36
  4. Step 4: Simplify right side
    21,414.38x = 1,111,579,563.25
  5. Step 5: Solve for x
    x = 1,111,579,563.25/21,414.38
  6. Step 6: Final answer
    x = 51,908.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.