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Finding the Third Proportional to 19,022.34 and 41,564.39

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Solution

The third proportional to 19,022.34 and 41,564.39 is: 90,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,022.34 : 41,564.39 = 41,564.39 : x
  2. Step 2: Convert to fraction form
    19,022.34/41,564.39 = 41,564.39/x
  3. Step 3: Cross multiply
    19,022.34x = 41,564.39 × 41,564.39
  4. Step 4: Simplify right side
    19,022.34x = 1,727,598,568.03
  5. Step 5: Solve for x
    x = 1,727,598,568.03/19,022.34
  6. Step 6: Final answer
    x = 90,819.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.