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Finding the Third Proportional to 12,001.50 and 18,827.44

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Solution

The third proportional to 12,001.50 and 18,827.44 is: 29,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.50 : 18,827.44 = 18,827.44 : x
  2. Step 2: Convert to fraction form
    12,001.50/18,827.44 = 18,827.44/x
  3. Step 3: Cross multiply
    12,001.50x = 18,827.44 × 18,827.44
  4. Step 4: Simplify right side
    12,001.50x = 354,472,402.82
  5. Step 5: Solve for x
    x = 354,472,402.82/12,001.50
  6. Step 6: Final answer
    x = 29,535.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.