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Finding the Third Proportional to 30,928 and 68,938.75

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Solution

The third proportional to 30,928 and 68,938.75 is: 153,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928 : 68,938.75 = 68,938.75 : x
  2. Step 2: Convert to fraction form
    30,928/68,938.75 = 68,938.75/x
  3. Step 3: Cross multiply
    30,928x = 68,938.75 × 68,938.75
  4. Step 4: Simplify right side
    30,928x = 4,752,551,251.56
  5. Step 5: Solve for x
    x = 4,752,551,251.56/30,928
  6. Step 6: Final answer
    x = 153,665.00

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.