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Finding the Third Proportional to 4,132 and 8,672.50

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Solution

The third proportional to 4,132 and 8,672.50 is: 18,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 8,672.50 = 8,672.50 : x
  2. Step 2: Convert to fraction form
    4,132/8,672.50 = 8,672.50/x
  3. Step 3: Cross multiply
    4,132x = 8,672.50 × 8,672.50
  4. Step 4: Simplify right side
    4,132x = 75,212,256.25
  5. Step 5: Solve for x
    x = 75,212,256.25/4,132
  6. Step 6: Final answer
    x = 18,202.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.