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Finding the Third Proportional to 24,275 and 52,823

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Solution

The third proportional to 24,275 and 52,823 is: 114,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275 : 52,823 = 52,823 : x
  2. Step 2: Convert to fraction form
    24,275/52,823 = 52,823/x
  3. Step 3: Cross multiply
    24,275x = 52,823 × 52,823
  4. Step 4: Simplify right side
    24,275x = 2,790,269,329
  5. Step 5: Solve for x
    x = 2,790,269,329/24,275
  6. Step 6: Final answer
    x = 114,944.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.