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Finding the Third Proportional to 3,114.28 and 4,827.09

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Solution

The third proportional to 3,114.28 and 4,827.09 is: 7,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.28 : 4,827.09 = 4,827.09 : x
  2. Step 2: Convert to fraction form
    3,114.28/4,827.09 = 4,827.09/x
  3. Step 3: Cross multiply
    3,114.28x = 4,827.09 × 4,827.09
  4. Step 4: Simplify right side
    3,114.28x = 23,300,834.07
  5. Step 5: Solve for x
    x = 23,300,834.07/3,114.28
  6. Step 6: Final answer
    x = 7,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.