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Finding the Third Proportional to 1,845.28 and 2,955.87

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Solution

The third proportional to 1,845.28 and 2,955.87 is: 4,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.28 : 2,955.87 = 2,955.87 : x
  2. Step 2: Convert to fraction form
    1,845.28/2,955.87 = 2,955.87/x
  3. Step 3: Cross multiply
    1,845.28x = 2,955.87 × 2,955.87
  4. Step 4: Simplify right side
    1,845.28x = 8,737,150.83
  5. Step 5: Solve for x
    x = 8,737,150.83/1,845.28
  6. Step 6: Final answer
    x = 4,734.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.