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Finding the Third Proportional to 12,846 and 18,037

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Solution

The third proportional to 12,846 and 18,037 is: 25,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846 : 18,037 = 18,037 : x
  2. Step 2: Convert to fraction form
    12,846/18,037 = 18,037/x
  3. Step 3: Cross multiply
    12,846x = 18,037 × 18,037
  4. Step 4: Simplify right side
    12,846x = 325,333,369
  5. Step 5: Solve for x
    x = 325,333,369/12,846
  6. Step 6: Final answer
    x = 25,325.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.