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Finding the Third Proportional to 45,015.75 and 69,376.50

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Solution

The third proportional to 45,015.75 and 69,376.50 is: 106,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 69,376.50 = 69,376.50 : x
  2. Step 2: Convert to fraction form
    45,015.75/69,376.50 = 69,376.50/x
  3. Step 3: Cross multiply
    45,015.75x = 69,376.50 × 69,376.50
  4. Step 4: Simplify right side
    45,015.75x = 4,813,098,752.25
  5. Step 5: Solve for x
    x = 4,813,098,752.25/45,015.75
  6. Step 6: Final answer
    x = 106,920.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.