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Finding the Third Proportional to 7,005 and 11,196

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Solution

The third proportional to 7,005 and 11,196 is: 17,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 11,196 = 11,196 : x
  2. Step 2: Convert to fraction form
    7,005/11,196 = 11,196/x
  3. Step 3: Cross multiply
    7,005x = 11,196 × 11,196
  4. Step 4: Simplify right side
    7,005x = 125,350,416
  5. Step 5: Solve for x
    x = 125,350,416/7,005
  6. Step 6: Final answer
    x = 17,894.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.