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Finding the Third Proportional to 10,922 and 15,995

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Solution

The third proportional to 10,922 and 15,995 is: 23,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 15,995 = 15,995 : x
  2. Step 2: Convert to fraction form
    10,922/15,995 = 15,995/x
  3. Step 3: Cross multiply
    10,922x = 15,995 × 15,995
  4. Step 4: Simplify right side
    10,922x = 255,840,025
  5. Step 5: Solve for x
    x = 255,840,025/10,922
  6. Step 6: Final answer
    x = 23,424.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.