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Finding the Third Proportional to 8,778.38 and 14,007.94

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Solution

The third proportional to 8,778.38 and 14,007.94 is: 22,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.38 : 14,007.94 = 14,007.94 : x
  2. Step 2: Convert to fraction form
    8,778.38/14,007.94 = 14,007.94/x
  3. Step 3: Cross multiply
    8,778.38x = 14,007.94 × 14,007.94
  4. Step 4: Simplify right side
    8,778.38x = 196,222,313.00
  5. Step 5: Solve for x
    x = 196,222,313.00/8,778.38
  6. Step 6: Final answer
    x = 22,352.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.