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Finding the Third Proportional to 19,765.69 and 42,553.69

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Solution

The third proportional to 19,765.69 and 42,553.69 is: 91,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.69 : 42,553.69 = 42,553.69 : x
  2. Step 2: Convert to fraction form
    19,765.69/42,553.69 = 42,553.69/x
  3. Step 3: Cross multiply
    19,765.69x = 42,553.69 × 42,553.69
  4. Step 4: Simplify right side
    19,765.69x = 1,810,816,319.85
  5. Step 5: Solve for x
    x = 1,810,816,319.85/19,765.69
  6. Step 6: Final answer
    x = 91,614.13

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