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Finding the Third Proportional to 24,060 and 50,753

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Solution

The third proportional to 24,060 and 50,753 is: 107,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,060 : 50,753 = 50,753 : x
  2. Step 2: Convert to fraction form
    24,060/50,753 = 50,753/x
  3. Step 3: Cross multiply
    24,060x = 50,753 × 50,753
  4. Step 4: Simplify right side
    24,060x = 2,575,867,009
  5. Step 5: Solve for x
    x = 2,575,867,009/24,060
  6. Step 6: Final answer
    x = 107,060.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.