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Finding the Third Proportional to 21,584 and 51,962

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Solution

The third proportional to 21,584 and 51,962 is: 125,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 51,962 = 51,962 : x
  2. Step 2: Convert to fraction form
    21,584/51,962 = 51,962/x
  3. Step 3: Cross multiply
    21,584x = 51,962 × 51,962
  4. Step 4: Simplify right side
    21,584x = 2,700,049,444
  5. Step 5: Solve for x
    x = 2,700,049,444/21,584
  6. Step 6: Final answer
    x = 125,094.95

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.