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Finding the Third Proportional to 22,677 and 33,323

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Solution

The third proportional to 22,677 and 33,323 is: 48,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677 : 33,323 = 33,323 : x
  2. Step 2: Convert to fraction form
    22,677/33,323 = 33,323/x
  3. Step 3: Cross multiply
    22,677x = 33,323 × 33,323
  4. Step 4: Simplify right side
    22,677x = 1,110,422,329
  5. Step 5: Solve for x
    x = 1,110,422,329/22,677
  6. Step 6: Final answer
    x = 48,966.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.