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Finding the Third Proportional to 4,125.94 and 5,910.47

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Solution

The third proportional to 4,125.94 and 5,910.47 is: 8,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.94 : 5,910.47 = 5,910.47 : x
  2. Step 2: Convert to fraction form
    4,125.94/5,910.47 = 5,910.47/x
  3. Step 3: Cross multiply
    4,125.94x = 5,910.47 × 5,910.47
  4. Step 4: Simplify right side
    4,125.94x = 34,933,640.84
  5. Step 5: Solve for x
    x = 34,933,640.84/4,125.94
  6. Step 6: Final answer
    x = 8,466.84

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1.5x scale

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.