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Finding the Third Proportional to 23,371 and 50,509

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Solution

The third proportional to 23,371 and 50,509 is: 109,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,371 : 50,509 = 50,509 : x
  2. Step 2: Convert to fraction form
    23,371/50,509 = 50,509/x
  3. Step 3: Cross multiply
    23,371x = 50,509 × 50,509
  4. Step 4: Simplify right side
    23,371x = 2,551,159,081
  5. Step 5: Solve for x
    x = 2,551,159,081/23,371
  6. Step 6: Final answer
    x = 109,159.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.