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Finding the Third Proportional to 23,913 and 51,345

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Solution

The third proportional to 23,913 and 51,345 is: 110,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,913 : 51,345 = 51,345 : x
  2. Step 2: Convert to fraction form
    23,913/51,345 = 51,345/x
  3. Step 3: Cross multiply
    23,913x = 51,345 × 51,345
  4. Step 4: Simplify right side
    23,913x = 2,636,309,025
  5. Step 5: Solve for x
    x = 2,636,309,025/23,913
  6. Step 6: Final answer
    x = 110,245.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.