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Finding the Third Proportional to 7,898 and 17,281

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Solution

The third proportional to 7,898 and 17,281 is: 37,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898 : 17,281 = 17,281 : x
  2. Step 2: Convert to fraction form
    7,898/17,281 = 17,281/x
  3. Step 3: Cross multiply
    7,898x = 17,281 × 17,281
  4. Step 4: Simplify right side
    7,898x = 298,632,961
  5. Step 5: Solve for x
    x = 298,632,961/7,898
  6. Step 6: Final answer
    x = 37,811.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.