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Finding the Third Proportional to 33,300 and 70,837.50

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Solution

The third proportional to 33,300 and 70,837.50 is: 150,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,300 : 70,837.50 = 70,837.50 : x
  2. Step 2: Convert to fraction form
    33,300/70,837.50 = 70,837.50/x
  3. Step 3: Cross multiply
    33,300x = 70,837.50 × 70,837.50
  4. Step 4: Simplify right side
    33,300x = 5,017,951,406.25
  5. Step 5: Solve for x
    x = 5,017,951,406.25/33,300
  6. Step 6: Final answer
    x = 150,689.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.