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Finding the Third Proportional to 21,532 and 47,323

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Solution

The third proportional to 21,532 and 47,323 is: 104,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 47,323 = 47,323 : x
  2. Step 2: Convert to fraction form
    21,532/47,323 = 47,323/x
  3. Step 3: Cross multiply
    21,532x = 47,323 × 47,323
  4. Step 4: Simplify right side
    21,532x = 2,239,466,329
  5. Step 5: Solve for x
    x = 2,239,466,329/21,532
  6. Step 6: Final answer
    x = 104,006.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.