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Finding the Third Proportional to 22,070 and 34,195

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Solution

The third proportional to 22,070 and 34,195 is: 52,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070 : 34,195 = 34,195 : x
  2. Step 2: Convert to fraction form
    22,070/34,195 = 34,195/x
  3. Step 3: Cross multiply
    22,070x = 34,195 × 34,195
  4. Step 4: Simplify right side
    22,070x = 1,169,298,025
  5. Step 5: Solve for x
    x = 1,169,298,025/22,070
  6. Step 6: Final answer
    x = 52,981.33

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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.