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Finding the Third Proportional to 12,694.50 and 23,796

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Solution

The third proportional to 12,694.50 and 23,796 is: 44,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.50 : 23,796 = 23,796 : x
  2. Step 2: Convert to fraction form
    12,694.50/23,796 = 23,796/x
  3. Step 3: Cross multiply
    12,694.50x = 23,796 × 23,796
  4. Step 4: Simplify right side
    12,694.50x = 566,249,616
  5. Step 5: Solve for x
    x = 566,249,616/12,694.50
  6. Step 6: Final answer
    x = 44,605.90

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.