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Finding the Third Proportional to 7,070 and 11,194

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Solution

The third proportional to 7,070 and 11,194 is: 17,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 11,194 = 11,194 : x
  2. Step 2: Convert to fraction form
    7,070/11,194 = 11,194/x
  3. Step 3: Cross multiply
    7,070x = 11,194 × 11,194
  4. Step 4: Simplify right side
    7,070x = 125,305,636
  5. Step 5: Solve for x
    x = 125,305,636/7,070
  6. Step 6: Final answer
    x = 17,723.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.