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Finding the Third Proportional to 21,498 and 30,965

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Solution

The third proportional to 21,498 and 30,965 is: 44,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 30,965 = 30,965 : x
  2. Step 2: Convert to fraction form
    21,498/30,965 = 30,965/x
  3. Step 3: Cross multiply
    21,498x = 30,965 × 30,965
  4. Step 4: Simplify right side
    21,498x = 958,831,225
  5. Step 5: Solve for x
    x = 958,831,225/21,498
  6. Step 6: Final answer
    x = 44,600.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.