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Finding the Third Proportional to 14,338.50 and 33,735.75

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Solution

The third proportional to 14,338.50 and 33,735.75 is: 79,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.50 : 33,735.75 = 33,735.75 : x
  2. Step 2: Convert to fraction form
    14,338.50/33,735.75 = 33,735.75/x
  3. Step 3: Cross multiply
    14,338.50x = 33,735.75 × 33,735.75
  4. Step 4: Simplify right side
    14,338.50x = 1,138,100,828.06
  5. Step 5: Solve for x
    x = 1,138,100,828.06/14,338.50
  6. Step 6: Final answer
    x = 79,373.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.