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Finding the Third Proportional to 4,004.44 and 6,376.78

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Solution

The third proportional to 4,004.44 and 6,376.78 is: 10,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.44 : 6,376.78 = 6,376.78 : x
  2. Step 2: Convert to fraction form
    4,004.44/6,376.78 = 6,376.78/x
  3. Step 3: Cross multiply
    4,004.44x = 6,376.78 × 6,376.78
  4. Step 4: Simplify right side
    4,004.44x = 40,663,339.11
  5. Step 5: Solve for x
    x = 40,663,339.11/4,004.44
  6. Step 6: Final answer
    x = 10,154.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.