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Finding the Third Proportional to 19,342.13 and 25,305.75

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Solution

The third proportional to 19,342.13 and 25,305.75 is: 33,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342.13 : 25,305.75 = 25,305.75 : x
  2. Step 2: Convert to fraction form
    19,342.13/25,305.75 = 25,305.75/x
  3. Step 3: Cross multiply
    19,342.13x = 25,305.75 × 25,305.75
  4. Step 4: Simplify right side
    19,342.13x = 640,380,983.06
  5. Step 5: Solve for x
    x = 640,380,983.06/19,342.13
  6. Step 6: Final answer
    x = 33,108.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.