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Finding the Third Proportional to 15,728 and 22,022

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Solution

The third proportional to 15,728 and 22,022 is: 30,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 22,022 = 22,022 : x
  2. Step 2: Convert to fraction form
    15,728/22,022 = 22,022/x
  3. Step 3: Cross multiply
    15,728x = 22,022 × 22,022
  4. Step 4: Simplify right side
    15,728x = 484,968,484
  5. Step 5: Solve for x
    x = 484,968,484/15,728
  6. Step 6: Final answer
    x = 30,834.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.