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Finding the Third Proportional to 5,989.57 and 7,326.07

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Solution

The third proportional to 5,989.57 and 7,326.07 is: 8,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.57 : 7,326.07 = 7,326.07 : x
  2. Step 2: Convert to fraction form
    5,989.57/7,326.07 = 7,326.07/x
  3. Step 3: Cross multiply
    5,989.57x = 7,326.07 × 7,326.07
  4. Step 4: Simplify right side
    5,989.57x = 53,671,306.22
  5. Step 5: Solve for x
    x = 53,671,306.22/5,989.57
  6. Step 6: Final answer
    x = 8,960.79

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.