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Finding the Third Proportional to 3,893.06 and 6,011.72

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Solution

The third proportional to 3,893.06 and 6,011.72 is: 9,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 6,011.72 = 6,011.72 : x
  2. Step 2: Convert to fraction form
    3,893.06/6,011.72 = 6,011.72/x
  3. Step 3: Cross multiply
    3,893.06x = 6,011.72 × 6,011.72
  4. Step 4: Simplify right side
    3,893.06x = 36,140,762.33
  5. Step 5: Solve for x
    x = 36,140,762.33/3,893.06
  6. Step 6: Final answer
    x = 9,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.