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Finding the Third Proportional to 2,376.42 and 4,813.80

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Solution

The third proportional to 2,376.42 and 4,813.80 is: 9,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.42 : 4,813.80 = 4,813.80 : x
  2. Step 2: Convert to fraction form
    2,376.42/4,813.80 = 4,813.80/x
  3. Step 3: Cross multiply
    2,376.42x = 4,813.80 × 4,813.80
  4. Step 4: Simplify right side
    2,376.42x = 23,172,715.57
  5. Step 5: Solve for x
    x = 23,172,715.57/2,376.42
  6. Step 6: Final answer
    x = 9,751.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.