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Finding the Third Proportional to 39,661 and 58,394.50

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Solution

The third proportional to 39,661 and 58,394.50 is: 85,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,661 : 58,394.50 = 58,394.50 : x
  2. Step 2: Convert to fraction form
    39,661/58,394.50 = 58,394.50/x
  3. Step 3: Cross multiply
    39,661x = 58,394.50 × 58,394.50
  4. Step 4: Simplify right side
    39,661x = 3,409,917,630.25
  5. Step 5: Solve for x
    x = 3,409,917,630.25/39,661
  6. Step 6: Final answer
    x = 85,976.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.