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Finding the Third Proportional to 8,265.25 and 12,416.12

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Solution

The third proportional to 8,265.25 and 12,416.12 is: 18,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.25 : 12,416.12 = 12,416.12 : x
  2. Step 2: Convert to fraction form
    8,265.25/12,416.12 = 12,416.12/x
  3. Step 3: Cross multiply
    8,265.25x = 12,416.12 × 12,416.12
  4. Step 4: Simplify right side
    8,265.25x = 154,159,945.22
  5. Step 5: Solve for x
    x = 154,159,945.22/8,265.25
  6. Step 6: Final answer
    x = 18,651.58

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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.