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Finding the Third Proportional to 14,778.06 and 20,784.94

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Solution

The third proportional to 14,778.06 and 20,784.94 is: 29,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.06 : 20,784.94 = 20,784.94 : x
  2. Step 2: Convert to fraction form
    14,778.06/20,784.94 = 20,784.94/x
  3. Step 3: Cross multiply
    14,778.06x = 20,784.94 × 20,784.94
  4. Step 4: Simplify right side
    14,778.06x = 432,013,626.88
  5. Step 5: Solve for x
    x = 432,013,626.88/14,778.06
  6. Step 6: Final answer
    x = 29,233.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.