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Finding the Third Proportional to 4,240.69 and 6,056.44

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Solution

The third proportional to 4,240.69 and 6,056.44 is: 8,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.69 : 6,056.44 = 6,056.44 : x
  2. Step 2: Convert to fraction form
    4,240.69/6,056.44 = 6,056.44/x
  3. Step 3: Cross multiply
    4,240.69x = 6,056.44 × 6,056.44
  4. Step 4: Simplify right side
    4,240.69x = 36,680,435.19
  5. Step 5: Solve for x
    x = 36,680,435.19/4,240.69
  6. Step 6: Final answer
    x = 8,649.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.