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Finding the Third Proportional to 35,970.38 and 73,368.75

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Solution

The third proportional to 35,970.38 and 73,368.75 is: 149,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.38 : 73,368.75 = 73,368.75 : x
  2. Step 2: Convert to fraction form
    35,970.38/73,368.75 = 73,368.75/x
  3. Step 3: Cross multiply
    35,970.38x = 73,368.75 × 73,368.75
  4. Step 4: Simplify right side
    35,970.38x = 5,382,973,476.56
  5. Step 5: Solve for x
    x = 5,382,973,476.56/35,970.38
  6. Step 6: Final answer
    x = 149,650.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.