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Finding the Third Proportional to 4,317.05 and 7,388.72

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Solution

The third proportional to 4,317.05 and 7,388.72 is: 12,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.05 : 7,388.72 = 7,388.72 : x
  2. Step 2: Convert to fraction form
    4,317.05/7,388.72 = 7,388.72/x
  3. Step 3: Cross multiply
    4,317.05x = 7,388.72 × 7,388.72
  4. Step 4: Simplify right side
    4,317.05x = 54,593,164.77
  5. Step 5: Solve for x
    x = 54,593,164.77/4,317.05
  6. Step 6: Final answer
    x = 12,645.95

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.