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Finding the Third Proportional to 39,042 and 58,644

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Solution

The third proportional to 39,042 and 58,644 is: 88,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042 : 58,644 = 58,644 : x
  2. Step 2: Convert to fraction form
    39,042/58,644 = 58,644/x
  3. Step 3: Cross multiply
    39,042x = 58,644 × 58,644
  4. Step 4: Simplify right side
    39,042x = 3,439,118,736
  5. Step 5: Solve for x
    x = 3,439,118,736/39,042
  6. Step 6: Final answer
    x = 88,087.67

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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.