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Finding the Third Proportional to 6,852.94 and 10,252.41

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Solution

The third proportional to 6,852.94 and 10,252.41 is: 15,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.94 : 10,252.41 = 10,252.41 : x
  2. Step 2: Convert to fraction form
    6,852.94/10,252.41 = 10,252.41/x
  3. Step 3: Cross multiply
    6,852.94x = 10,252.41 × 10,252.41
  4. Step 4: Simplify right side
    6,852.94x = 105,111,833.92
  5. Step 5: Solve for x
    x = 105,111,833.92/6,852.94
  6. Step 6: Final answer
    x = 15,338.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.