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Finding the Third Proportional to 3,863.81 and 4,955.06

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Solution

The third proportional to 3,863.81 and 4,955.06 is: 6,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.81 : 4,955.06 = 4,955.06 : x
  2. Step 2: Convert to fraction form
    3,863.81/4,955.06 = 4,955.06/x
  3. Step 3: Cross multiply
    3,863.81x = 4,955.06 × 4,955.06
  4. Step 4: Simplify right side
    3,863.81x = 24,552,644.38
  5. Step 5: Solve for x
    x = 24,552,644.38/3,863.81
  6. Step 6: Final answer
    x = 6,354.51

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Why These Related Problems?

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