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Finding the Third Proportional to 38,229.26 and 89,946.07

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Solution

The third proportional to 38,229.26 and 89,946.07 is: 211,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.26 : 89,946.07 = 89,946.07 : x
  2. Step 2: Convert to fraction form
    38,229.26/89,946.07 = 89,946.07/x
  3. Step 3: Cross multiply
    38,229.26x = 89,946.07 × 89,946.07
  4. Step 4: Simplify right side
    38,229.26x = 8,090,295,564.66
  5. Step 5: Solve for x
    x = 8,090,295,564.66/38,229.26
  6. Step 6: Final answer
    x = 211,625.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.