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Finding the Third Proportional to 7,708 and 17,216

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Solution

The third proportional to 7,708 and 17,216 is: 38,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 17,216 = 17,216 : x
  2. Step 2: Convert to fraction form
    7,708/17,216 = 17,216/x
  3. Step 3: Cross multiply
    7,708x = 17,216 × 17,216
  4. Step 4: Simplify right side
    7,708x = 296,390,656
  5. Step 5: Solve for x
    x = 296,390,656/7,708
  6. Step 6: Final answer
    x = 38,452.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.