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Finding the Third Proportional to 30,194.44 and 45,496.69

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Solution

The third proportional to 30,194.44 and 45,496.69 is: 68,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.44 : 45,496.69 = 45,496.69 : x
  2. Step 2: Convert to fraction form
    30,194.44/45,496.69 = 45,496.69/x
  3. Step 3: Cross multiply
    30,194.44x = 45,496.69 × 45,496.69
  4. Step 4: Simplify right side
    30,194.44x = 2,069,948,573.47
  5. Step 5: Solve for x
    x = 2,069,948,573.47/30,194.44
  6. Step 6: Final answer
    x = 68,553.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.