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Finding the Third Proportional to 8,336.25 and 12,898.69

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Solution

The third proportional to 8,336.25 and 12,898.69 is: 19,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.25 : 12,898.69 = 12,898.69 : x
  2. Step 2: Convert to fraction form
    8,336.25/12,898.69 = 12,898.69/x
  3. Step 3: Cross multiply
    8,336.25x = 12,898.69 × 12,898.69
  4. Step 4: Simplify right side
    8,336.25x = 166,376,139.22
  5. Step 5: Solve for x
    x = 166,376,139.22/8,336.25
  6. Step 6: Final answer
    x = 19,958.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.