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Finding the Third Proportional to 4,439.53 and 9,426.56

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Solution

The third proportional to 4,439.53 and 9,426.56 is: 20,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439.53 : 9,426.56 = 9,426.56 : x
  2. Step 2: Convert to fraction form
    4,439.53/9,426.56 = 9,426.56/x
  3. Step 3: Cross multiply
    4,439.53x = 9,426.56 × 9,426.56
  4. Step 4: Simplify right side
    4,439.53x = 88,860,080.57
  5. Step 5: Solve for x
    x = 88,860,080.57/4,439.53
  6. Step 6: Final answer
    x = 20,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.