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Finding the Third Proportional to 3,232.63 and 4,942.94

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Solution

The third proportional to 3,232.63 and 4,942.94 is: 7,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.63 : 4,942.94 = 4,942.94 : x
  2. Step 2: Convert to fraction form
    3,232.63/4,942.94 = 4,942.94/x
  3. Step 3: Cross multiply
    3,232.63x = 4,942.94 × 4,942.94
  4. Step 4: Simplify right side
    3,232.63x = 24,432,631.13
  5. Step 5: Solve for x
    x = 24,432,631.13/3,232.63
  6. Step 6: Final answer
    x = 7,558.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.