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Finding the Third Proportional to 35,576.50 and 75,071.25

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Solution

The third proportional to 35,576.50 and 75,071.25 is: 158,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576.50 : 75,071.25 = 75,071.25 : x
  2. Step 2: Convert to fraction form
    35,576.50/75,071.25 = 75,071.25/x
  3. Step 3: Cross multiply
    35,576.50x = 75,071.25 × 75,071.25
  4. Step 4: Simplify right side
    35,576.50x = 5,635,692,576.56
  5. Step 5: Solve for x
    x = 5,635,692,576.56/35,576.50
  6. Step 6: Final answer
    x = 158,410.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.