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Finding the Third Proportional to 40,394.75 and 86,405.50

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Solution

The third proportional to 40,394.75 and 86,405.50 is: 184,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394.75 : 86,405.50 = 86,405.50 : x
  2. Step 2: Convert to fraction form
    40,394.75/86,405.50 = 86,405.50/x
  3. Step 3: Cross multiply
    40,394.75x = 86,405.50 × 86,405.50
  4. Step 4: Simplify right side
    40,394.75x = 7,465,910,430.25
  5. Step 5: Solve for x
    x = 7,465,910,430.25/40,394.75
  6. Step 6: Final answer
    x = 184,823.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.