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Finding the Third Proportional to 2,378.74 and 5,213.11

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Solution

The third proportional to 2,378.74 and 5,213.11 is: 11,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.74 : 5,213.11 = 5,213.11 : x
  2. Step 2: Convert to fraction form
    2,378.74/5,213.11 = 5,213.11/x
  3. Step 3: Cross multiply
    2,378.74x = 5,213.11 × 5,213.11
  4. Step 4: Simplify right side
    2,378.74x = 27,176,509.36
  5. Step 5: Solve for x
    x = 27,176,509.36/2,378.74
  6. Step 6: Final answer
    x = 11,424.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.