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Finding the Third Proportional to 8,546 and 9,194

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Solution

The third proportional to 8,546 and 9,194 is: 9,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546 : 9,194 = 9,194 : x
  2. Step 2: Convert to fraction form
    8,546/9,194 = 9,194/x
  3. Step 3: Cross multiply
    8,546x = 9,194 × 9,194
  4. Step 4: Simplify right side
    8,546x = 84,529,636
  5. Step 5: Solve for x
    x = 84,529,636/8,546
  6. Step 6: Final answer
    x = 9,891.13

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.