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Finding the Third Proportional to 21,622 and 35,304

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Solution

The third proportional to 21,622 and 35,304 is: 57,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622 : 35,304 = 35,304 : x
  2. Step 2: Convert to fraction form
    21,622/35,304 = 35,304/x
  3. Step 3: Cross multiply
    21,622x = 35,304 × 35,304
  4. Step 4: Simplify right side
    21,622x = 1,246,372,416
  5. Step 5: Solve for x
    x = 1,246,372,416/21,622
  6. Step 6: Final answer
    x = 57,643.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.