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Finding the Third Proportional to 2,824.88 and 6,145.24

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Solution

The third proportional to 2,824.88 and 6,145.24 is: 13,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.88 : 6,145.24 = 6,145.24 : x
  2. Step 2: Convert to fraction form
    2,824.88/6,145.24 = 6,145.24/x
  3. Step 3: Cross multiply
    2,824.88x = 6,145.24 × 6,145.24
  4. Step 4: Simplify right side
    2,824.88x = 37,764,001.54
  5. Step 5: Solve for x
    x = 37,764,001.54/2,824.88
  6. Step 6: Final answer
    x = 13,368.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.