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Finding the Third Proportional to 8,945 and 17,079

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Solution

The third proportional to 8,945 and 17,079 is: 32,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945 : 17,079 = 17,079 : x
  2. Step 2: Convert to fraction form
    8,945/17,079 = 17,079/x
  3. Step 3: Cross multiply
    8,945x = 17,079 × 17,079
  4. Step 4: Simplify right side
    8,945x = 291,692,241
  5. Step 5: Solve for x
    x = 291,692,241/8,945
  6. Step 6: Final answer
    x = 32,609.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.