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Finding the Third Proportional to 13,127.70 and 20,511.67

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Solution

The third proportional to 13,127.70 and 20,511.67 is: 32,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.70 : 20,511.67 = 20,511.67 : x
  2. Step 2: Convert to fraction form
    13,127.70/20,511.67 = 20,511.67/x
  3. Step 3: Cross multiply
    13,127.70x = 20,511.67 × 20,511.67
  4. Step 4: Simplify right side
    13,127.70x = 420,728,522.86
  5. Step 5: Solve for x
    x = 420,728,522.86/13,127.70
  6. Step 6: Final answer
    x = 32,048.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.