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Finding the Third Proportional to 4,077 and 5,152.50

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Solution

The third proportional to 4,077 and 5,152.50 is: 6,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 5,152.50 = 5,152.50 : x
  2. Step 2: Convert to fraction form
    4,077/5,152.50 = 5,152.50/x
  3. Step 3: Cross multiply
    4,077x = 5,152.50 × 5,152.50
  4. Step 4: Simplify right side
    4,077x = 26,548,256.25
  5. Step 5: Solve for x
    x = 26,548,256.25/4,077
  6. Step 6: Final answer
    x = 6,511.71

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.