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Finding the Third Proportional to 13,203 and 21,019.50

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Solution

The third proportional to 13,203 and 21,019.50 is: 33,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 21,019.50 = 21,019.50 : x
  2. Step 2: Convert to fraction form
    13,203/21,019.50 = 21,019.50/x
  3. Step 3: Cross multiply
    13,203x = 21,019.50 × 21,019.50
  4. Step 4: Simplify right side
    13,203x = 441,819,380.25
  5. Step 5: Solve for x
    x = 441,819,380.25/13,203
  6. Step 6: Final answer
    x = 33,463.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.