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Finding the Third Proportional to 5,326.54 and 9,986.73

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Solution

The third proportional to 5,326.54 and 9,986.73 is: 18,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.54 : 9,986.73 = 9,986.73 : x
  2. Step 2: Convert to fraction form
    5,326.54/9,986.73 = 9,986.73/x
  3. Step 3: Cross multiply
    5,326.54x = 9,986.73 × 9,986.73
  4. Step 4: Simplify right side
    5,326.54x = 99,734,785.46
  5. Step 5: Solve for x
    x = 99,734,785.46/5,326.54
  6. Step 6: Final answer
    x = 18,724.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.