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Finding the Third Proportional to 8,944.59 and 19,425.66

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Solution

The third proportional to 8,944.59 and 19,425.66 is: 42,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.59 : 19,425.66 = 19,425.66 : x
  2. Step 2: Convert to fraction form
    8,944.59/19,425.66 = 19,425.66/x
  3. Step 3: Cross multiply
    8,944.59x = 19,425.66 × 19,425.66
  4. Step 4: Simplify right side
    8,944.59x = 377,356,120.74
  5. Step 5: Solve for x
    x = 377,356,120.74/8,944.59
  6. Step 6: Final answer
    x = 42,188.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.