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Finding the Third Proportional to 30,508.50 and 73,407.75

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Solution

The third proportional to 30,508.50 and 73,407.75 is: 176,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.50 : 73,407.75 = 73,407.75 : x
  2. Step 2: Convert to fraction form
    30,508.50/73,407.75 = 73,407.75/x
  3. Step 3: Cross multiply
    30,508.50x = 73,407.75 × 73,407.75
  4. Step 4: Simplify right side
    30,508.50x = 5,388,697,760.06
  5. Step 5: Solve for x
    x = 5,388,697,760.06/30,508.50
  6. Step 6: Final answer
    x = 176,629.39

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.