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Finding the Third Proportional to 12,316 and 18,494

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Solution

The third proportional to 12,316 and 18,494 is: 27,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316 : 18,494 = 18,494 : x
  2. Step 2: Convert to fraction form
    12,316/18,494 = 18,494/x
  3. Step 3: Cross multiply
    12,316x = 18,494 × 18,494
  4. Step 4: Simplify right side
    12,316x = 342,028,036
  5. Step 5: Solve for x
    x = 342,028,036/12,316
  6. Step 6: Final answer
    x = 27,771.03

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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.