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Finding the Third Proportional to 39,807 and 55,795.50

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Solution

The third proportional to 39,807 and 55,795.50 is: 78,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,807 : 55,795.50 = 55,795.50 : x
  2. Step 2: Convert to fraction form
    39,807/55,795.50 = 55,795.50/x
  3. Step 3: Cross multiply
    39,807x = 55,795.50 × 55,795.50
  4. Step 4: Simplify right side
    39,807x = 3,113,137,820.25
  5. Step 5: Solve for x
    x = 3,113,137,820.25/39,807
  6. Step 6: Final answer
    x = 78,205.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.