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Finding the Third Proportional to 19,086.89 and 25,097.34

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Solution

The third proportional to 19,086.89 and 25,097.34 is: 33,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.89 : 25,097.34 = 25,097.34 : x
  2. Step 2: Convert to fraction form
    19,086.89/25,097.34 = 25,097.34/x
  3. Step 3: Cross multiply
    19,086.89x = 25,097.34 × 25,097.34
  4. Step 4: Simplify right side
    19,086.89x = 629,876,663.31
  5. Step 5: Solve for x
    x = 629,876,663.31/19,086.89
  6. Step 6: Final answer
    x = 33,000.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.