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Finding the Third Proportional to 2,904.94 and 6,288.38

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Solution

The third proportional to 2,904.94 and 6,288.38 is: 13,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.94 : 6,288.38 = 6,288.38 : x
  2. Step 2: Convert to fraction form
    2,904.94/6,288.38 = 6,288.38/x
  3. Step 3: Cross multiply
    2,904.94x = 6,288.38 × 6,288.38
  4. Step 4: Simplify right side
    2,904.94x = 39,543,660.14
  5. Step 5: Solve for x
    x = 39,543,660.14/2,904.94
  6. Step 6: Final answer
    x = 13,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.