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Finding the Third Proportional to 4,143.63 and 8,077.25

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Solution

The third proportional to 4,143.63 and 8,077.25 is: 15,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.63 : 8,077.25 = 8,077.25 : x
  2. Step 2: Convert to fraction form
    4,143.63/8,077.25 = 8,077.25/x
  3. Step 3: Cross multiply
    4,143.63x = 8,077.25 × 8,077.25
  4. Step 4: Simplify right side
    4,143.63x = 65,241,967.56
  5. Step 5: Solve for x
    x = 65,241,967.56/4,143.63
  6. Step 6: Final answer
    x = 15,745.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.