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Finding the Third Proportional to 47,091 and 65,998.50

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Solution

The third proportional to 47,091 and 65,998.50 is: 92,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091 : 65,998.50 = 65,998.50 : x
  2. Step 2: Convert to fraction form
    47,091/65,998.50 = 65,998.50/x
  3. Step 3: Cross multiply
    47,091x = 65,998.50 × 65,998.50
  4. Step 4: Simplify right side
    47,091x = 4,355,802,002.25
  5. Step 5: Solve for x
    x = 4,355,802,002.25/47,091
  6. Step 6: Final answer
    x = 92,497.55

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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.