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Finding the Third Proportional to 45,375.75 and 64,660.50

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Solution

The third proportional to 45,375.75 and 64,660.50 is: 92,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,375.75 : 64,660.50 = 64,660.50 : x
  2. Step 2: Convert to fraction form
    45,375.75/64,660.50 = 64,660.50/x
  3. Step 3: Cross multiply
    45,375.75x = 64,660.50 × 64,660.50
  4. Step 4: Simplify right side
    45,375.75x = 4,180,980,260.25
  5. Step 5: Solve for x
    x = 4,180,980,260.25/45,375.75
  6. Step 6: Final answer
    x = 92,141.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.