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Finding the Third Proportional to 23,520 and 50,754

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Solution

The third proportional to 23,520 and 50,754 is: 109,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520 : 50,754 = 50,754 : x
  2. Step 2: Convert to fraction form
    23,520/50,754 = 50,754/x
  3. Step 3: Cross multiply
    23,520x = 50,754 × 50,754
  4. Step 4: Simplify right side
    23,520x = 2,575,968,516
  5. Step 5: Solve for x
    x = 2,575,968,516/23,520
  6. Step 6: Final answer
    x = 109,522.47

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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.