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Finding the Third Proportional to 4,546.76 and 7,121.99

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Solution

The third proportional to 4,546.76 and 7,121.99 is: 11,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.76 : 7,121.99 = 7,121.99 : x
  2. Step 2: Convert to fraction form
    4,546.76/7,121.99 = 7,121.99/x
  3. Step 3: Cross multiply
    4,546.76x = 7,121.99 × 7,121.99
  4. Step 4: Simplify right side
    4,546.76x = 50,722,717.08
  5. Step 5: Solve for x
    x = 50,722,717.08/4,546.76
  6. Step 6: Final answer
    x = 11,155.80

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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.