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Finding the Third Proportional to 17,200.69 and 36,468.56

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Solution

The third proportional to 17,200.69 and 36,468.56 is: 77,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.69 : 36,468.56 = 36,468.56 : x
  2. Step 2: Convert to fraction form
    17,200.69/36,468.56 = 36,468.56/x
  3. Step 3: Cross multiply
    17,200.69x = 36,468.56 × 36,468.56
  4. Step 4: Simplify right side
    17,200.69x = 1,329,956,050.82
  5. Step 5: Solve for x
    x = 1,329,956,050.82/17,200.69
  6. Step 6: Final answer
    x = 77,319.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.