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Finding the Third Proportional to 4,132.69 and 8,994.38

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Solution

The third proportional to 4,132.69 and 8,994.38 is: 19,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.69 : 8,994.38 = 8,994.38 : x
  2. Step 2: Convert to fraction form
    4,132.69/8,994.38 = 8,994.38/x
  3. Step 3: Cross multiply
    4,132.69x = 8,994.38 × 8,994.38
  4. Step 4: Simplify right side
    4,132.69x = 80,898,781.64
  5. Step 5: Solve for x
    x = 80,898,781.64/4,132.69
  6. Step 6: Final answer
    x = 19,575.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.