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Finding the Third Proportional to 22,154 and 32,893

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Solution

The third proportional to 22,154 and 32,893 is: 48,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154 : 32,893 = 32,893 : x
  2. Step 2: Convert to fraction form
    22,154/32,893 = 32,893/x
  3. Step 3: Cross multiply
    22,154x = 32,893 × 32,893
  4. Step 4: Simplify right side
    22,154x = 1,081,949,449
  5. Step 5: Solve for x
    x = 1,081,949,449/22,154
  6. Step 6: Final answer
    x = 48,837.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.