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Finding the Third Proportional to 29,880 and 44,133.75

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Solution

The third proportional to 29,880 and 44,133.75 is: 65,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,880 : 44,133.75 = 44,133.75 : x
  2. Step 2: Convert to fraction form
    29,880/44,133.75 = 44,133.75/x
  3. Step 3: Cross multiply
    29,880x = 44,133.75 × 44,133.75
  4. Step 4: Simplify right side
    29,880x = 1,947,787,889.06
  5. Step 5: Solve for x
    x = 1,947,787,889.06/29,880
  6. Step 6: Final answer
    x = 65,187.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.