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Finding the Third Proportional to 3,541.50 and 5,167.69

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Solution

The third proportional to 3,541.50 and 5,167.69 is: 7,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.50 : 5,167.69 = 5,167.69 : x
  2. Step 2: Convert to fraction form
    3,541.50/5,167.69 = 5,167.69/x
  3. Step 3: Cross multiply
    3,541.50x = 5,167.69 × 5,167.69
  4. Step 4: Simplify right side
    3,541.50x = 26,704,994.10
  5. Step 5: Solve for x
    x = 26,704,994.10/3,541.50
  6. Step 6: Final answer
    x = 7,540.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.