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Finding the Third Proportional to 7,898 and 17,284

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Solution

The third proportional to 7,898 and 17,284 is: 37,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898 : 17,284 = 17,284 : x
  2. Step 2: Convert to fraction form
    7,898/17,284 = 17,284/x
  3. Step 3: Cross multiply
    7,898x = 17,284 × 17,284
  4. Step 4: Simplify right side
    7,898x = 298,736,656
  5. Step 5: Solve for x
    x = 298,736,656/7,898
  6. Step 6: Final answer
    x = 37,824.34

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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.