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Finding the Third Proportional to 18,270 and 23,998.50

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Solution

The third proportional to 18,270 and 23,998.50 is: 31,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 23,998.50 = 23,998.50 : x
  2. Step 2: Convert to fraction form
    18,270/23,998.50 = 23,998.50/x
  3. Step 3: Cross multiply
    18,270x = 23,998.50 × 23,998.50
  4. Step 4: Simplify right side
    18,270x = 575,928,002.25
  5. Step 5: Solve for x
    x = 575,928,002.25/18,270
  6. Step 6: Final answer
    x = 31,523.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.