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Finding the Third Proportional to 15,832.97 and 34,422.47

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Solution

The third proportional to 15,832.97 and 34,422.47 is: 74,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.97 : 34,422.47 = 34,422.47 : x
  2. Step 2: Convert to fraction form
    15,832.97/34,422.47 = 34,422.47/x
  3. Step 3: Cross multiply
    15,832.97x = 34,422.47 × 34,422.47
  4. Step 4: Simplify right side
    15,832.97x = 1,184,906,354.84
  5. Step 5: Solve for x
    x = 1,184,906,354.84/15,832.97
  6. Step 6: Final answer
    x = 74,837.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.