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Finding the Third Proportional to 39,004 and 86,769

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Solution

The third proportional to 39,004 and 86,769 is: 193,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004 : 86,769 = 86,769 : x
  2. Step 2: Convert to fraction form
    39,004/86,769 = 86,769/x
  3. Step 3: Cross multiply
    39,004x = 86,769 × 86,769
  4. Step 4: Simplify right side
    39,004x = 7,528,859,361
  5. Step 5: Solve for x
    x = 7,528,859,361/39,004
  6. Step 6: Final answer
    x = 193,027.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.