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Finding the Third Proportional to 22,071 and 34,197

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Solution

The third proportional to 22,071 and 34,197 is: 52,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071 : 34,197 = 34,197 : x
  2. Step 2: Convert to fraction form
    22,071/34,197 = 34,197/x
  3. Step 3: Cross multiply
    22,071x = 34,197 × 34,197
  4. Step 4: Simplify right side
    22,071x = 1,169,434,809
  5. Step 5: Solve for x
    x = 1,169,434,809/22,071
  6. Step 6: Final answer
    x = 52,985.13

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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.