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Finding the Third Proportional to 7,924 and 18,106

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Solution

The third proportional to 7,924 and 18,106 is: 41,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 18,106 = 18,106 : x
  2. Step 2: Convert to fraction form
    7,924/18,106 = 18,106/x
  3. Step 3: Cross multiply
    7,924x = 18,106 × 18,106
  4. Step 4: Simplify right side
    7,924x = 327,827,236
  5. Step 5: Solve for x
    x = 327,827,236/7,924
  6. Step 6: Final answer
    x = 41,371.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.