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Finding the Third Proportional to 3,667.50 and 5,225.63

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Solution

The third proportional to 3,667.50 and 5,225.63 is: 7,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.50 : 5,225.63 = 5,225.63 : x
  2. Step 2: Convert to fraction form
    3,667.50/5,225.63 = 5,225.63/x
  3. Step 3: Cross multiply
    3,667.50x = 5,225.63 × 5,225.63
  4. Step 4: Simplify right side
    3,667.50x = 27,307,156.64
  5. Step 5: Solve for x
    x = 27,307,156.64/3,667.50
  6. Step 6: Final answer
    x = 7,445.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.