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Finding the Third Proportional to 19,265.25 and 28,231.13

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Solution

The third proportional to 19,265.25 and 28,231.13 is: 41,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265.25 : 28,231.13 = 28,231.13 : x
  2. Step 2: Convert to fraction form
    19,265.25/28,231.13 = 28,231.13/x
  3. Step 3: Cross multiply
    19,265.25x = 28,231.13 × 28,231.13
  4. Step 4: Simplify right side
    19,265.25x = 796,996,418.77
  5. Step 5: Solve for x
    x = 796,996,418.77/19,265.25
  6. Step 6: Final answer
    x = 41,369.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.