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Finding the Third Proportional to 23,522 and 50,738

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Solution

The third proportional to 23,522 and 50,738 is: 109,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522 : 50,738 = 50,738 : x
  2. Step 2: Convert to fraction form
    23,522/50,738 = 50,738/x
  3. Step 3: Cross multiply
    23,522x = 50,738 × 50,738
  4. Step 4: Simplify right side
    23,522x = 2,574,344,644
  5. Step 5: Solve for x
    x = 2,574,344,644/23,522
  6. Step 6: Final answer
    x = 109,444.12

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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.