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Finding the Third Proportional to 20,593.69 and 45,196.88

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Solution

The third proportional to 20,593.69 and 45,196.88 is: 99,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.69 : 45,196.88 = 45,196.88 : x
  2. Step 2: Convert to fraction form
    20,593.69/45,196.88 = 45,196.88/x
  3. Step 3: Cross multiply
    20,593.69x = 45,196.88 × 45,196.88
  4. Step 4: Simplify right side
    20,593.69x = 2,042,757,509.77
  5. Step 5: Solve for x
    x = 2,042,757,509.77/20,593.69
  6. Step 6: Final answer
    x = 99,193.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.