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Finding the Third Proportional to 12,804.75 and 29,467.13

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Solution

The third proportional to 12,804.75 and 29,467.13 is: 67,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.75 : 29,467.13 = 29,467.13 : x
  2. Step 2: Convert to fraction form
    12,804.75/29,467.13 = 29,467.13/x
  3. Step 3: Cross multiply
    12,804.75x = 29,467.13 × 29,467.13
  4. Step 4: Simplify right side
    12,804.75x = 868,311,455.77
  5. Step 5: Solve for x
    x = 868,311,455.77/12,804.75
  6. Step 6: Final answer
    x = 67,811.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.