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Finding the Third Proportional to 24,733 and 54,998

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Solution

The third proportional to 24,733 and 54,998 is: 122,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733 : 54,998 = 54,998 : x
  2. Step 2: Convert to fraction form
    24,733/54,998 = 54,998/x
  3. Step 3: Cross multiply
    24,733x = 54,998 × 54,998
  4. Step 4: Simplify right side
    24,733x = 3,024,780,004
  5. Step 5: Solve for x
    x = 3,024,780,004/24,733
  6. Step 6: Final answer
    x = 122,297.34

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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.