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Finding the Third Proportional to 8,295.50 and 12,198.50

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Solution

The third proportional to 8,295.50 and 12,198.50 is: 17,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.50 : 12,198.50 = 12,198.50 : x
  2. Step 2: Convert to fraction form
    8,295.50/12,198.50 = 12,198.50/x
  3. Step 3: Cross multiply
    8,295.50x = 12,198.50 × 12,198.50
  4. Step 4: Simplify right side
    8,295.50x = 148,803,402.25
  5. Step 5: Solve for x
    x = 148,803,402.25/8,295.50
  6. Step 6: Final answer
    x = 17,937.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.