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Finding the Third Proportional to 7,504.88 and 8,193.38

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Solution

The third proportional to 7,504.88 and 8,193.38 is: 8,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.88 : 8,193.38 = 8,193.38 : x
  2. Step 2: Convert to fraction form
    7,504.88/8,193.38 = 8,193.38/x
  3. Step 3: Cross multiply
    7,504.88x = 8,193.38 × 8,193.38
  4. Step 4: Simplify right side
    7,504.88x = 67,131,393.89
  5. Step 5: Solve for x
    x = 67,131,393.89/7,504.88
  6. Step 6: Final answer
    x = 8,945.04

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.