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Finding the Third Proportional to 4,480.31 and 9,635.63

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Solution

The third proportional to 4,480.31 and 9,635.63 is: 20,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.31 : 9,635.63 = 9,635.63 : x
  2. Step 2: Convert to fraction form
    4,480.31/9,635.63 = 9,635.63/x
  3. Step 3: Cross multiply
    4,480.31x = 9,635.63 × 9,635.63
  4. Step 4: Simplify right side
    4,480.31x = 92,845,269.14
  5. Step 5: Solve for x
    x = 92,845,269.14/4,480.31
  6. Step 6: Final answer
    x = 20,722.94

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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.