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Finding the Third Proportional to 20,622 and 23,646

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Solution

The third proportional to 20,622 and 23,646 is: 27,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 23,646 = 23,646 : x
  2. Step 2: Convert to fraction form
    20,622/23,646 = 23,646/x
  3. Step 3: Cross multiply
    20,622x = 23,646 × 23,646
  4. Step 4: Simplify right side
    20,622x = 559,133,316
  5. Step 5: Solve for x
    x = 559,133,316/20,622
  6. Step 6: Final answer
    x = 27,113.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.