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Finding the Third Proportional to 3,069.56 and 4,605.19

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Solution

The third proportional to 3,069.56 and 4,605.19 is: 6,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.56 : 4,605.19 = 4,605.19 : x
  2. Step 2: Convert to fraction form
    3,069.56/4,605.19 = 4,605.19/x
  3. Step 3: Cross multiply
    3,069.56x = 4,605.19 × 4,605.19
  4. Step 4: Simplify right side
    3,069.56x = 21,207,751.91
  5. Step 5: Solve for x
    x = 21,207,751.91/3,069.56
  6. Step 6: Final answer
    x = 6,909.05

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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.