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Finding the Third Proportional to 2,814.43 and 6,124.36

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Solution

The third proportional to 2,814.43 and 6,124.36 is: 13,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.43 : 6,124.36 = 6,124.36 : x
  2. Step 2: Convert to fraction form
    2,814.43/6,124.36 = 6,124.36/x
  3. Step 3: Cross multiply
    2,814.43x = 6,124.36 × 6,124.36
  4. Step 4: Simplify right side
    2,814.43x = 37,507,777.75
  5. Step 5: Solve for x
    x = 37,507,777.75/2,814.43
  6. Step 6: Final answer
    x = 13,326.94

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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.