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Finding the Third Proportional to 40,709 and 60,985

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Solution

The third proportional to 40,709 and 60,985 is: 91,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,709 : 60,985 = 60,985 : x
  2. Step 2: Convert to fraction form
    40,709/60,985 = 60,985/x
  3. Step 3: Cross multiply
    40,709x = 60,985 × 60,985
  4. Step 4: Simplify right side
    40,709x = 3,719,170,225
  5. Step 5: Solve for x
    x = 3,719,170,225/40,709
  6. Step 6: Final answer
    x = 91,359.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.