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Finding the Third Proportional to 2,917.13 and 6,224.63

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Solution

The third proportional to 2,917.13 and 6,224.63 is: 13,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.13 : 6,224.63 = 6,224.63 : x
  2. Step 2: Convert to fraction form
    2,917.13/6,224.63 = 6,224.63/x
  3. Step 3: Cross multiply
    2,917.13x = 6,224.63 × 6,224.63
  4. Step 4: Simplify right side
    2,917.13x = 38,745,956.39
  5. Step 5: Solve for x
    x = 38,745,956.39/2,917.13
  6. Step 6: Final answer
    x = 13,282.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.