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Finding the Third Proportional to 24,780 and 50,768

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Solution

The third proportional to 24,780 and 50,768 is: 104,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 50,768 = 50,768 : x
  2. Step 2: Convert to fraction form
    24,780/50,768 = 50,768/x
  3. Step 3: Cross multiply
    24,780x = 50,768 × 50,768
  4. Step 4: Simplify right side
    24,780x = 2,577,389,824
  5. Step 5: Solve for x
    x = 2,577,389,824/24,780
  6. Step 6: Final answer
    x = 104,010.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.