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Finding the Third Proportional to 22,072 and 34,202

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Solution

The third proportional to 22,072 and 34,202 is: 52,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072 : 34,202 = 34,202 : x
  2. Step 2: Convert to fraction form
    22,072/34,202 = 34,202/x
  3. Step 3: Cross multiply
    22,072x = 34,202 × 34,202
  4. Step 4: Simplify right side
    22,072x = 1,169,776,804
  5. Step 5: Solve for x
    x = 1,169,776,804/22,072
  6. Step 6: Final answer
    x = 52,998.22

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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.