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Finding the Third Proportional to 8,197.50 and 8,935.50

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Solution

The third proportional to 8,197.50 and 8,935.50 is: 9,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.50 : 8,935.50 = 8,935.50 : x
  2. Step 2: Convert to fraction form
    8,197.50/8,935.50 = 8,935.50/x
  3. Step 3: Cross multiply
    8,197.50x = 8,935.50 × 8,935.50
  4. Step 4: Simplify right side
    8,197.50x = 79,843,160.25
  5. Step 5: Solve for x
    x = 79,843,160.25/8,197.50
  6. Step 6: Final answer
    x = 9,739.94

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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.