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Finding the Third Proportional to 31,832.44 and 48,440.25

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Solution

The third proportional to 31,832.44 and 48,440.25 is: 73,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.44 : 48,440.25 = 48,440.25 : x
  2. Step 2: Convert to fraction form
    31,832.44/48,440.25 = 48,440.25/x
  3. Step 3: Cross multiply
    31,832.44x = 48,440.25 × 48,440.25
  4. Step 4: Simplify right side
    31,832.44x = 2,346,457,820.06
  5. Step 5: Solve for x
    x = 2,346,457,820.06/31,832.44
  6. Step 6: Final answer
    x = 73,712.79

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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.