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Finding the Third Proportional to 8,391.94 and 11,763.94

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Solution

The third proportional to 8,391.94 and 11,763.94 is: 16,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.94 : 11,763.94 = 11,763.94 : x
  2. Step 2: Convert to fraction form
    8,391.94/11,763.94 = 11,763.94/x
  3. Step 3: Cross multiply
    8,391.94x = 11,763.94 × 11,763.94
  4. Step 4: Simplify right side
    8,391.94x = 138,390,225.50
  5. Step 5: Solve for x
    x = 138,390,225.50/8,391.94
  6. Step 6: Final answer
    x = 16,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.