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Finding the Third Proportional to 12,364.50 and 18,543

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Solution

The third proportional to 12,364.50 and 18,543 is: 27,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.50 : 18,543 = 18,543 : x
  2. Step 2: Convert to fraction form
    12,364.50/18,543 = 18,543/x
  3. Step 3: Cross multiply
    12,364.50x = 18,543 × 18,543
  4. Step 4: Simplify right side
    12,364.50x = 343,842,849
  5. Step 5: Solve for x
    x = 343,842,849/12,364.50
  6. Step 6: Final answer
    x = 27,808.88

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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.