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Finding the Third Proportional to 35,909 and 54,511.50

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Solution

The third proportional to 35,909 and 54,511.50 is: 82,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909 : 54,511.50 = 54,511.50 : x
  2. Step 2: Convert to fraction form
    35,909/54,511.50 = 54,511.50/x
  3. Step 3: Cross multiply
    35,909x = 54,511.50 × 54,511.50
  4. Step 4: Simplify right side
    35,909x = 2,971,503,632.25
  5. Step 5: Solve for x
    x = 2,971,503,632.25/35,909
  6. Step 6: Final answer
    x = 82,750.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.