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Finding the Third Proportional to 4,069.56 and 6,116.94

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Solution

The third proportional to 4,069.56 and 6,116.94 is: 9,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.56 : 6,116.94 = 6,116.94 : x
  2. Step 2: Convert to fraction form
    4,069.56/6,116.94 = 6,116.94/x
  3. Step 3: Cross multiply
    4,069.56x = 6,116.94 × 6,116.94
  4. Step 4: Simplify right side
    4,069.56x = 37,416,924.38
  5. Step 5: Solve for x
    x = 37,416,924.38/4,069.56
  6. Step 6: Final answer
    x = 9,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.