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Finding the Third Proportional to 7,868 and 19,022

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Solution

The third proportional to 7,868 and 19,022 is: 45,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 19,022 = 19,022 : x
  2. Step 2: Convert to fraction form
    7,868/19,022 = 19,022/x
  3. Step 3: Cross multiply
    7,868x = 19,022 × 19,022
  4. Step 4: Simplify right side
    7,868x = 361,836,484
  5. Step 5: Solve for x
    x = 361,836,484/7,868
  6. Step 6: Final answer
    x = 45,988.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.