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Finding the Third Proportional to 4,538.81 and 6,787.69

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Solution

The third proportional to 4,538.81 and 6,787.69 is: 10,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.81 : 6,787.69 = 6,787.69 : x
  2. Step 2: Convert to fraction form
    4,538.81/6,787.69 = 6,787.69/x
  3. Step 3: Cross multiply
    4,538.81x = 6,787.69 × 6,787.69
  4. Step 4: Simplify right side
    4,538.81x = 46,072,701.60
  5. Step 5: Solve for x
    x = 46,072,701.60/4,538.81
  6. Step 6: Final answer
    x = 10,150.83

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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.