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Finding the Third Proportional to 24,764 and 52,261

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Solution

The third proportional to 24,764 and 52,261 is: 110,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764 : 52,261 = 52,261 : x
  2. Step 2: Convert to fraction form
    24,764/52,261 = 52,261/x
  3. Step 3: Cross multiply
    24,764x = 52,261 × 52,261
  4. Step 4: Simplify right side
    24,764x = 2,731,212,121
  5. Step 5: Solve for x
    x = 2,731,212,121/24,764
  6. Step 6: Final answer
    x = 110,289.62

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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.