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Finding the Third Proportional to 12,319.50 and 18,477

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Solution

The third proportional to 12,319.50 and 18,477 is: 27,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.50 : 18,477 = 18,477 : x
  2. Step 2: Convert to fraction form
    12,319.50/18,477 = 18,477/x
  3. Step 3: Cross multiply
    12,319.50x = 18,477 × 18,477
  4. Step 4: Simplify right side
    12,319.50x = 341,399,529
  5. Step 5: Solve for x
    x = 341,399,529/12,319.50
  6. Step 6: Final answer
    x = 27,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.