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Finding the Third Proportional to 35,923.50 and 83,328.75

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Solution

The third proportional to 35,923.50 and 83,328.75 is: 193,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,923.50 : 83,328.75 = 83,328.75 : x
  2. Step 2: Convert to fraction form
    35,923.50/83,328.75 = 83,328.75/x
  3. Step 3: Cross multiply
    35,923.50x = 83,328.75 × 83,328.75
  4. Step 4: Simplify right side
    35,923.50x = 6,943,680,576.56
  5. Step 5: Solve for x
    x = 6,943,680,576.56/35,923.50
  6. Step 6: Final answer
    x = 193,290.76

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.