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Finding the Third Proportional to 4,667.63 and 7,237.69

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Solution

The third proportional to 4,667.63 and 7,237.69 is: 11,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.63 : 7,237.69 = 7,237.69 : x
  2. Step 2: Convert to fraction form
    4,667.63/7,237.69 = 7,237.69/x
  3. Step 3: Cross multiply
    4,667.63x = 7,237.69 × 7,237.69
  4. Step 4: Simplify right side
    4,667.63x = 52,384,120.35
  5. Step 5: Solve for x
    x = 52,384,120.35/4,667.63
  6. Step 6: Final answer
    x = 11,222.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.