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Finding the Third Proportional to 45,718.50 and 68,577.75

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Solution

The third proportional to 45,718.50 and 68,577.75 is: 102,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,718.50 : 68,577.75 = 68,577.75 : x
  2. Step 2: Convert to fraction form
    45,718.50/68,577.75 = 68,577.75/x
  3. Step 3: Cross multiply
    45,718.50x = 68,577.75 × 68,577.75
  4. Step 4: Simplify right side
    45,718.50x = 4,702,907,795.06
  5. Step 5: Solve for x
    x = 4,702,907,795.06/45,718.50
  6. Step 6: Final answer
    x = 102,866.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.