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Finding the Third Proportional to 2,219.91 and 4,816.13

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Solution

The third proportional to 2,219.91 and 4,816.13 is: 10,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.91 : 4,816.13 = 4,816.13 : x
  2. Step 2: Convert to fraction form
    2,219.91/4,816.13 = 4,816.13/x
  3. Step 3: Cross multiply
    2,219.91x = 4,816.13 × 4,816.13
  4. Step 4: Simplify right side
    2,219.91x = 23,195,060.02
  5. Step 5: Solve for x
    x = 23,195,060.02/2,219.91
  6. Step 6: Final answer
    x = 10,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.