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Finding the Third Proportional to 21,652.50 and 33,846

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Solution

The third proportional to 21,652.50 and 33,846 is: 52,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.50 : 33,846 = 33,846 : x
  2. Step 2: Convert to fraction form
    21,652.50/33,846 = 33,846/x
  3. Step 3: Cross multiply
    21,652.50x = 33,846 × 33,846
  4. Step 4: Simplify right side
    21,652.50x = 1,145,551,716
  5. Step 5: Solve for x
    x = 1,145,551,716/21,652.50
  6. Step 6: Final answer
    x = 52,906.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.