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Finding the Third Proportional to 39,944 and 53,004

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Solution

The third proportional to 39,944 and 53,004 is: 70,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,944 : 53,004 = 53,004 : x
  2. Step 2: Convert to fraction form
    39,944/53,004 = 53,004/x
  3. Step 3: Cross multiply
    39,944x = 53,004 × 53,004
  4. Step 4: Simplify right side
    39,944x = 2,809,424,016
  5. Step 5: Solve for x
    x = 2,809,424,016/39,944
  6. Step 6: Final answer
    x = 70,334.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.