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Finding the Third Proportional to 20,078 and 22,022

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Solution

The third proportional to 20,078 and 22,022 is: 24,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078 : 22,022 = 22,022 : x
  2. Step 2: Convert to fraction form
    20,078/22,022 = 22,022/x
  3. Step 3: Cross multiply
    20,078x = 22,022 × 22,022
  4. Step 4: Simplify right side
    20,078x = 484,968,484
  5. Step 5: Solve for x
    x = 484,968,484/20,078
  6. Step 6: Final answer
    x = 24,154.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.