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Finding the Third Proportional to 21,489 and 30,261

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Solution

The third proportional to 21,489 and 30,261 is: 42,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489 : 30,261 = 30,261 : x
  2. Step 2: Convert to fraction form
    21,489/30,261 = 30,261/x
  3. Step 3: Cross multiply
    21,489x = 30,261 × 30,261
  4. Step 4: Simplify right side
    21,489x = 915,728,121
  5. Step 5: Solve for x
    x = 915,728,121/21,489
  6. Step 6: Final answer
    x = 42,613.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.