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Finding the Third Proportional to 4,194.50 and 8,654.50

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Solution

The third proportional to 4,194.50 and 8,654.50 is: 17,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.50 : 8,654.50 = 8,654.50 : x
  2. Step 2: Convert to fraction form
    4,194.50/8,654.50 = 8,654.50/x
  3. Step 3: Cross multiply
    4,194.50x = 8,654.50 × 8,654.50
  4. Step 4: Simplify right side
    4,194.50x = 74,900,370.25
  5. Step 5: Solve for x
    x = 74,900,370.25/4,194.50
  6. Step 6: Final answer
    x = 17,856.81

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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.