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Finding the Third Proportional to 6,724.69 and 9,871.03

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Solution

The third proportional to 6,724.69 and 9,871.03 is: 14,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.69 : 9,871.03 = 9,871.03 : x
  2. Step 2: Convert to fraction form
    6,724.69/9,871.03 = 9,871.03/x
  3. Step 3: Cross multiply
    6,724.69x = 9,871.03 × 9,871.03
  4. Step 4: Simplify right side
    6,724.69x = 97,437,257.94
  5. Step 5: Solve for x
    x = 97,437,257.94/6,724.69
  6. Step 6: Final answer
    x = 14,489.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.