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Finding the Third Proportional to 22,231 and 34,411

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Solution

The third proportional to 22,231 and 34,411 is: 53,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231 : 34,411 = 34,411 : x
  2. Step 2: Convert to fraction form
    22,231/34,411 = 34,411/x
  3. Step 3: Cross multiply
    22,231x = 34,411 × 34,411
  4. Step 4: Simplify right side
    22,231x = 1,184,116,921
  5. Step 5: Solve for x
    x = 1,184,116,921/22,231
  6. Step 6: Final answer
    x = 53,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.