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Finding the Third Proportional to 5,326.07 and 7,989.10

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Solution

The third proportional to 5,326.07 and 7,989.10 is: 11,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.07 : 7,989.10 = 7,989.10 : x
  2. Step 2: Convert to fraction form
    5,326.07/7,989.10 = 7,989.10/x
  3. Step 3: Cross multiply
    5,326.07x = 7,989.10 × 7,989.10
  4. Step 4: Simplify right side
    5,326.07x = 63,825,712.57
  5. Step 5: Solve for x
    x = 63,825,712.57/5,326.07
  6. Step 6: Final answer
    x = 11,983.65

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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.