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Finding the Third Proportional to 23,498.44 and 33,951.66

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Solution

The third proportional to 23,498.44 and 33,951.66 is: 49,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.44 : 33,951.66 = 33,951.66 : x
  2. Step 2: Convert to fraction form
    23,498.44/33,951.66 = 33,951.66/x
  3. Step 3: Cross multiply
    23,498.44x = 33,951.66 × 33,951.66
  4. Step 4: Simplify right side
    23,498.44x = 1,152,714,962.12
  5. Step 5: Solve for x
    x = 1,152,714,962.12/23,498.44
  6. Step 6: Final answer
    x = 49,054.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.