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Finding the Third Proportional to 4,352 and 10,092

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Solution

The third proportional to 4,352 and 10,092 is: 23,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352 : 10,092 = 10,092 : x
  2. Step 2: Convert to fraction form
    4,352/10,092 = 10,092/x
  3. Step 3: Cross multiply
    4,352x = 10,092 × 10,092
  4. Step 4: Simplify right side
    4,352x = 101,848,464
  5. Step 5: Solve for x
    x = 101,848,464/4,352
  6. Step 6: Final answer
    x = 23,402.68

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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.