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Finding the Third Proportional to 24,539 and 52,003

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Solution

The third proportional to 24,539 and 52,003 is: 110,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539 : 52,003 = 52,003 : x
  2. Step 2: Convert to fraction form
    24,539/52,003 = 52,003/x
  3. Step 3: Cross multiply
    24,539x = 52,003 × 52,003
  4. Step 4: Simplify right side
    24,539x = 2,704,312,009
  5. Step 5: Solve for x
    x = 2,704,312,009/24,539
  6. Step 6: Final answer
    x = 110,204.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.