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Finding the Third Proportional to 4,052.53 and 8,667.84

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Solution

The third proportional to 4,052.53 and 8,667.84 is: 18,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.53 : 8,667.84 = 8,667.84 : x
  2. Step 2: Convert to fraction form
    4,052.53/8,667.84 = 8,667.84/x
  3. Step 3: Cross multiply
    4,052.53x = 8,667.84 × 8,667.84
  4. Step 4: Simplify right side
    4,052.53x = 75,131,515.27
  5. Step 5: Solve for x
    x = 75,131,515.27/4,052.53
  6. Step 6: Final answer
    x = 18,539.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.