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Finding the Third Proportional to 4,503.94 and 7,066.41

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Solution

The third proportional to 4,503.94 and 7,066.41 is: 11,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.94 : 7,066.41 = 7,066.41 : x
  2. Step 2: Convert to fraction form
    4,503.94/7,066.41 = 7,066.41/x
  3. Step 3: Cross multiply
    4,503.94x = 7,066.41 × 7,066.41
  4. Step 4: Simplify right side
    4,503.94x = 49,934,097.29
  5. Step 5: Solve for x
    x = 49,934,097.29/4,503.94
  6. Step 6: Final answer
    x = 11,086.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.