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Finding the Third Proportional to 8,264.25 and 16,968.38

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Solution

The third proportional to 8,264.25 and 16,968.38 is: 34,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.25 : 16,968.38 = 16,968.38 : x
  2. Step 2: Convert to fraction form
    8,264.25/16,968.38 = 16,968.38/x
  3. Step 3: Cross multiply
    8,264.25x = 16,968.38 × 16,968.38
  4. Step 4: Simplify right side
    8,264.25x = 287,925,750.14
  5. Step 5: Solve for x
    x = 287,925,750.14/8,264.25
  6. Step 6: Final answer
    x = 34,839.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.