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Finding the Third Proportional to 19,515.38 and 29,635.88

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Solution

The third proportional to 19,515.38 and 29,635.88 is: 45,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515.38 : 29,635.88 = 29,635.88 : x
  2. Step 2: Convert to fraction form
    19,515.38/29,635.88 = 29,635.88/x
  3. Step 3: Cross multiply
    19,515.38x = 29,635.88 × 29,635.88
  4. Step 4: Simplify right side
    19,515.38x = 878,285,087.02
  5. Step 5: Solve for x
    x = 878,285,087.02/19,515.38
  6. Step 6: Final answer
    x = 45,004.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.