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Finding the Third Proportional to 23,085 and 49,329

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Solution

The third proportional to 23,085 and 49,329 is: 105,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 49,329 = 49,329 : x
  2. Step 2: Convert to fraction form
    23,085/49,329 = 49,329/x
  3. Step 3: Cross multiply
    23,085x = 49,329 × 49,329
  4. Step 4: Simplify right side
    23,085x = 2,433,350,241
  5. Step 5: Solve for x
    x = 2,433,350,241/23,085
  6. Step 6: Final answer
    x = 105,408.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.