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Finding the Third Proportional to 16,020 and 33,619.50

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Solution

The third proportional to 16,020 and 33,619.50 is: 70,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020 : 33,619.50 = 33,619.50 : x
  2. Step 2: Convert to fraction form
    16,020/33,619.50 = 33,619.50/x
  3. Step 3: Cross multiply
    16,020x = 33,619.50 × 33,619.50
  4. Step 4: Simplify right side
    16,020x = 1,130,270,780.25
  5. Step 5: Solve for x
    x = 1,130,270,780.25/16,020
  6. Step 6: Final answer
    x = 70,553.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.