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Finding the Third Proportional to 24,076 and 50,780

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Solution

The third proportional to 24,076 and 50,780 is: 107,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076 : 50,780 = 50,780 : x
  2. Step 2: Convert to fraction form
    24,076/50,780 = 50,780/x
  3. Step 3: Cross multiply
    24,076x = 50,780 × 50,780
  4. Step 4: Simplify right side
    24,076x = 2,578,608,400
  5. Step 5: Solve for x
    x = 2,578,608,400/24,076
  6. Step 6: Final answer
    x = 107,102.86

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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.