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Finding the Third Proportional to 13,203 and 20,047.50

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Solution

The third proportional to 13,203 and 20,047.50 is: 30,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 20,047.50 = 20,047.50 : x
  2. Step 2: Convert to fraction form
    13,203/20,047.50 = 20,047.50/x
  3. Step 3: Cross multiply
    13,203x = 20,047.50 × 20,047.50
  4. Step 4: Simplify right side
    13,203x = 401,902,256.25
  5. Step 5: Solve for x
    x = 401,902,256.25/13,203
  6. Step 6: Final answer
    x = 30,440.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.