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Finding the Third Proportional to 18,022.50 and 38,925

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Solution

The third proportional to 18,022.50 and 38,925 is: 84,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.50 : 38,925 = 38,925 : x
  2. Step 2: Convert to fraction form
    18,022.50/38,925 = 38,925/x
  3. Step 3: Cross multiply
    18,022.50x = 38,925 × 38,925
  4. Step 4: Simplify right side
    18,022.50x = 1,515,155,625
  5. Step 5: Solve for x
    x = 1,515,155,625/18,022.50
  6. Step 6: Final answer
    x = 84,070.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.