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Finding the Third Proportional to 23,854 and 51,812

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Solution

The third proportional to 23,854 and 51,812 is: 112,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854 : 51,812 = 51,812 : x
  2. Step 2: Convert to fraction form
    23,854/51,812 = 51,812/x
  3. Step 3: Cross multiply
    23,854x = 51,812 × 51,812
  4. Step 4: Simplify right side
    23,854x = 2,684,483,344
  5. Step 5: Solve for x
    x = 2,684,483,344/23,854
  6. Step 6: Final answer
    x = 112,538.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.