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Finding the Third Proportional to 8,757.11 and 13,941.07

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Solution

The third proportional to 8,757.11 and 13,941.07 is: 22,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.11 : 13,941.07 = 13,941.07 : x
  2. Step 2: Convert to fraction form
    8,757.11/13,941.07 = 13,941.07/x
  3. Step 3: Cross multiply
    8,757.11x = 13,941.07 × 13,941.07
  4. Step 4: Simplify right side
    8,757.11x = 194,353,441.46
  5. Step 5: Solve for x
    x = 194,353,441.46/8,757.11
  6. Step 6: Final answer
    x = 22,193.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.