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Finding the Third Proportional to 6,635.25 and 10,184.63

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Solution

The third proportional to 6,635.25 and 10,184.63 is: 15,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.25 : 10,184.63 = 10,184.63 : x
  2. Step 2: Convert to fraction form
    6,635.25/10,184.63 = 10,184.63/x
  3. Step 3: Cross multiply
    6,635.25x = 10,184.63 × 10,184.63
  4. Step 4: Simplify right side
    6,635.25x = 103,726,586.39
  5. Step 5: Solve for x
    x = 103,726,586.39/6,635.25
  6. Step 6: Final answer
    x = 15,632.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.