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Finding the Third Proportional to 7,922 and 18,343

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Solution

The third proportional to 7,922 and 18,343 is: 42,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 18,343 = 18,343 : x
  2. Step 2: Convert to fraction form
    7,922/18,343 = 18,343/x
  3. Step 3: Cross multiply
    7,922x = 18,343 × 18,343
  4. Step 4: Simplify right side
    7,922x = 336,465,649
  5. Step 5: Solve for x
    x = 336,465,649/7,922
  6. Step 6: Final answer
    x = 42,472.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.