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Finding the Third Proportional to 4,132 and 5,014

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Solution

The third proportional to 4,132 and 5,014 is: 6,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 5,014 = 5,014 : x
  2. Step 2: Convert to fraction form
    4,132/5,014 = 5,014/x
  3. Step 3: Cross multiply
    4,132x = 5,014 × 5,014
  4. Step 4: Simplify right side
    4,132x = 25,140,196
  5. Step 5: Solve for x
    x = 25,140,196/4,132
  6. Step 6: Final answer
    x = 6,084.27

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.