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Finding the Third Proportional to 4,470.38 and 9,625.88

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Solution

The third proportional to 4,470.38 and 9,625.88 is: 20,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.38 : 9,625.88 = 9,625.88 : x
  2. Step 2: Convert to fraction form
    4,470.38/9,625.88 = 9,625.88/x
  3. Step 3: Cross multiply
    4,470.38x = 9,625.88 × 9,625.88
  4. Step 4: Simplify right side
    4,470.38x = 92,657,469.52
  5. Step 5: Solve for x
    x = 92,657,469.52/4,470.38
  6. Step 6: Final answer
    x = 20,727.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.