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Finding the Third Proportional to 7,925.44 and 18,429.19

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Solution

The third proportional to 7,925.44 and 18,429.19 is: 42,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.44 : 18,429.19 = 18,429.19 : x
  2. Step 2: Convert to fraction form
    7,925.44/18,429.19 = 18,429.19/x
  3. Step 3: Cross multiply
    7,925.44x = 18,429.19 × 18,429.19
  4. Step 4: Simplify right side
    7,925.44x = 339,634,951.91
  5. Step 5: Solve for x
    x = 339,634,951.91/7,925.44
  6. Step 6: Final answer
    x = 42,853.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.