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Finding the Third Proportional to 3,844.02 and 4,911.89

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Solution

The third proportional to 3,844.02 and 4,911.89 is: 6,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.02 : 4,911.89 = 4,911.89 : x
  2. Step 2: Convert to fraction form
    3,844.02/4,911.89 = 4,911.89/x
  3. Step 3: Cross multiply
    3,844.02x = 4,911.89 × 4,911.89
  4. Step 4: Simplify right side
    3,844.02x = 24,126,669.51
  5. Step 5: Solve for x
    x = 24,126,669.51/3,844.02
  6. Step 6: Final answer
    x = 6,276.42

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.