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Finding the Third Proportional to 24,927 and 52,669

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Solution

The third proportional to 24,927 and 52,669 is: 111,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927 : 52,669 = 52,669 : x
  2. Step 2: Convert to fraction form
    24,927/52,669 = 52,669/x
  3. Step 3: Cross multiply
    24,927x = 52,669 × 52,669
  4. Step 4: Simplify right side
    24,927x = 2,774,023,561
  5. Step 5: Solve for x
    x = 2,774,023,561/24,927
  6. Step 6: Final answer
    x = 111,285.90

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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.