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Finding the Third Proportional to 30,812 and 66,546.50

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Solution

The third proportional to 30,812 and 66,546.50 is: 143,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 66,546.50 = 66,546.50 : x
  2. Step 2: Convert to fraction form
    30,812/66,546.50 = 66,546.50/x
  3. Step 3: Cross multiply
    30,812x = 66,546.50 × 66,546.50
  4. Step 4: Simplify right side
    30,812x = 4,428,436,662.25
  5. Step 5: Solve for x
    x = 4,428,436,662.25/30,812
  6. Step 6: Final answer
    x = 143,724.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.