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Finding the Third Proportional to 8,246.25 and 16,079.63

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Solution

The third proportional to 8,246.25 and 16,079.63 is: 31,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.25 : 16,079.63 = 16,079.63 : x
  2. Step 2: Convert to fraction form
    8,246.25/16,079.63 = 16,079.63/x
  3. Step 3: Cross multiply
    8,246.25x = 16,079.63 × 16,079.63
  4. Step 4: Simplify right side
    8,246.25x = 258,554,340.14
  5. Step 5: Solve for x
    x = 258,554,340.14/8,246.25
  6. Step 6: Final answer
    x = 31,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.