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Finding the Third Proportional to 12,342 and 18,505.50

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Solution

The third proportional to 12,342 and 18,505.50 is: 27,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342 : 18,505.50 = 18,505.50 : x
  2. Step 2: Convert to fraction form
    12,342/18,505.50 = 18,505.50/x
  3. Step 3: Cross multiply
    12,342x = 18,505.50 × 18,505.50
  4. Step 4: Simplify right side
    12,342x = 342,453,530.25
  5. Step 5: Solve for x
    x = 342,453,530.25/12,342
  6. Step 6: Final answer
    x = 27,747.00

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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.