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Finding the Third Proportional to 7,930 and 17,213

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Solution

The third proportional to 7,930 and 17,213 is: 37,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930 : 17,213 = 17,213 : x
  2. Step 2: Convert to fraction form
    7,930/17,213 = 17,213/x
  3. Step 3: Cross multiply
    7,930x = 17,213 × 17,213
  4. Step 4: Simplify right side
    7,930x = 296,287,369
  5. Step 5: Solve for x
    x = 296,287,369/7,930
  6. Step 6: Final answer
    x = 37,362.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.