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Finding the Third Proportional to 21,344 and 50,362

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Solution

The third proportional to 21,344 and 50,362 is: 118,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344 : 50,362 = 50,362 : x
  2. Step 2: Convert to fraction form
    21,344/50,362 = 50,362/x
  3. Step 3: Cross multiply
    21,344x = 50,362 × 50,362
  4. Step 4: Simplify right side
    21,344x = 2,536,331,044
  5. Step 5: Solve for x
    x = 2,536,331,044/21,344
  6. Step 6: Final answer
    x = 118,831.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.