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Finding the Third Proportional to 12,796 and 18,746

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Solution

The third proportional to 12,796 and 18,746 is: 27,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796 : 18,746 = 18,746 : x
  2. Step 2: Convert to fraction form
    12,796/18,746 = 18,746/x
  3. Step 3: Cross multiply
    12,796x = 18,746 × 18,746
  4. Step 4: Simplify right side
    12,796x = 351,412,516
  5. Step 5: Solve for x
    x = 351,412,516/12,796
  6. Step 6: Final answer
    x = 27,462.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.