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Finding the Third Proportional to 19,269.88 and 41,815.13

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Solution

The third proportional to 19,269.88 and 41,815.13 is: 90,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,269.88 : 41,815.13 = 41,815.13 : x
  2. Step 2: Convert to fraction form
    19,269.88/41,815.13 = 41,815.13/x
  3. Step 3: Cross multiply
    19,269.88x = 41,815.13 × 41,815.13
  4. Step 4: Simplify right side
    19,269.88x = 1,748,504,678.77
  5. Step 5: Solve for x
    x = 1,748,504,678.77/19,269.88
  6. Step 6: Final answer
    x = 90,737.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.