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Finding the Third Proportional to 39,002.50 and 81,004

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Solution

The third proportional to 39,002.50 and 81,004 is: 168,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,002.50 : 81,004 = 81,004 : x
  2. Step 2: Convert to fraction form
    39,002.50/81,004 = 81,004/x
  3. Step 3: Cross multiply
    39,002.50x = 81,004 × 81,004
  4. Step 4: Simplify right side
    39,002.50x = 6,561,648,016
  5. Step 5: Solve for x
    x = 6,561,648,016/39,002.50
  6. Step 6: Final answer
    x = 168,236.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.