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Finding the Third Proportional to 4,635 and 12,190.50

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Solution

The third proportional to 4,635 and 12,190.50 is: 32,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635 : 12,190.50 = 12,190.50 : x
  2. Step 2: Convert to fraction form
    4,635/12,190.50 = 12,190.50/x
  3. Step 3: Cross multiply
    4,635x = 12,190.50 × 12,190.50
  4. Step 4: Simplify right side
    4,635x = 148,608,290.25
  5. Step 5: Solve for x
    x = 148,608,290.25/4,635
  6. Step 6: Final answer
    x = 32,062.20

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.