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Finding the Third Proportional to 19,217.25 and 27,995.63

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Solution

The third proportional to 19,217.25 and 27,995.63 is: 40,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,217.25 : 27,995.63 = 27,995.63 : x
  2. Step 2: Convert to fraction form
    19,217.25/27,995.63 = 27,995.63/x
  3. Step 3: Cross multiply
    19,217.25x = 27,995.63 × 27,995.63
  4. Step 4: Simplify right side
    19,217.25x = 783,755,019.14
  5. Step 5: Solve for x
    x = 783,755,019.14/19,217.25
  6. Step 6: Final answer
    x = 40,783.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.