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Finding the Third Proportional to 18,433 and 27,697.50

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Solution

The third proportional to 18,433 and 27,697.50 is: 41,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433 : 27,697.50 = 27,697.50 : x
  2. Step 2: Convert to fraction form
    18,433/27,697.50 = 27,697.50/x
  3. Step 3: Cross multiply
    18,433x = 27,697.50 × 27,697.50
  4. Step 4: Simplify right side
    18,433x = 767,151,506.25
  5. Step 5: Solve for x
    x = 767,151,506.25/18,433
  6. Step 6: Final answer
    x = 41,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.