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Finding the Third Proportional to 4,194 and 8,653

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Solution

The third proportional to 4,194 and 8,653 is: 17,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 8,653 = 8,653 : x
  2. Step 2: Convert to fraction form
    4,194/8,653 = 8,653/x
  3. Step 3: Cross multiply
    4,194x = 8,653 × 8,653
  4. Step 4: Simplify right side
    4,194x = 74,874,409
  5. Step 5: Solve for x
    x = 74,874,409/4,194
  6. Step 6: Final answer
    x = 17,852.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.