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Finding the Third Proportional to 32,273.44 and 69,490.41

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Solution

The third proportional to 32,273.44 and 69,490.41 is: 149,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,273.44 : 69,490.41 = 69,490.41 : x
  2. Step 2: Convert to fraction form
    32,273.44/69,490.41 = 69,490.41/x
  3. Step 3: Cross multiply
    32,273.44x = 69,490.41 × 69,490.41
  4. Step 4: Simplify right side
    32,273.44x = 4,828,916,560.79
  5. Step 5: Solve for x
    x = 4,828,916,560.79/32,273.44
  6. Step 6: Final answer
    x = 149,625.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.