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Finding the Third Proportional to 2,851.45 and 4,013.30

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Solution

The third proportional to 2,851.45 and 4,013.30 is: 5,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.45 : 4,013.30 = 4,013.30 : x
  2. Step 2: Convert to fraction form
    2,851.45/4,013.30 = 4,013.30/x
  3. Step 3: Cross multiply
    2,851.45x = 4,013.30 × 4,013.30
  4. Step 4: Simplify right side
    2,851.45x = 16,106,551.81
  5. Step 5: Solve for x
    x = 16,106,551.81/2,851.45
  6. Step 6: Final answer
    x = 5,648.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.