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Finding the Third Proportional to 21,956 and 42,823

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Solution

The third proportional to 21,956 and 42,823 is: 83,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956 : 42,823 = 42,823 : x
  2. Step 2: Convert to fraction form
    21,956/42,823 = 42,823/x
  3. Step 3: Cross multiply
    21,956x = 42,823 × 42,823
  4. Step 4: Simplify right side
    21,956x = 1,833,809,329
  5. Step 5: Solve for x
    x = 1,833,809,329/21,956
  6. Step 6: Final answer
    x = 83,522.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.