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Finding the Third Proportional to 7,868 and 17,306

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Solution

The third proportional to 7,868 and 17,306 is: 38,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 17,306 = 17,306 : x
  2. Step 2: Convert to fraction form
    7,868/17,306 = 17,306/x
  3. Step 3: Cross multiply
    7,868x = 17,306 × 17,306
  4. Step 4: Simplify right side
    7,868x = 299,497,636
  5. Step 5: Solve for x
    x = 299,497,636/7,868
  6. Step 6: Final answer
    x = 38,065.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.