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Finding the Third Proportional to 7,175 and 11,213

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Solution

The third proportional to 7,175 and 11,213 is: 17,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175 : 11,213 = 11,213 : x
  2. Step 2: Convert to fraction form
    7,175/11,213 = 11,213/x
  3. Step 3: Cross multiply
    7,175x = 11,213 × 11,213
  4. Step 4: Simplify right side
    7,175x = 125,731,369
  5. Step 5: Solve for x
    x = 125,731,369/7,175
  6. Step 6: Final answer
    x = 17,523.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.