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Finding the Third Proportional to 3,265.73 and 4,905.98

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Solution

The third proportional to 3,265.73 and 4,905.98 is: 7,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.73 : 4,905.98 = 4,905.98 : x
  2. Step 2: Convert to fraction form
    3,265.73/4,905.98 = 4,905.98/x
  3. Step 3: Cross multiply
    3,265.73x = 4,905.98 × 4,905.98
  4. Step 4: Simplify right side
    3,265.73x = 24,068,682.69
  5. Step 5: Solve for x
    x = 24,068,682.69/3,265.73
  6. Step 6: Final answer
    x = 7,370.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.