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Finding the Third Proportional to 24,769 and 55,062

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Solution

The third proportional to 24,769 and 55,062 is: 122,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769 : 55,062 = 55,062 : x
  2. Step 2: Convert to fraction form
    24,769/55,062 = 55,062/x
  3. Step 3: Cross multiply
    24,769x = 55,062 × 55,062
  4. Step 4: Simplify right side
    24,769x = 3,031,823,844
  5. Step 5: Solve for x
    x = 3,031,823,844/24,769
  6. Step 6: Final answer
    x = 122,403.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.