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Finding the Third Proportional to 39,036 and 53,676

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Solution

The third proportional to 39,036 and 53,676 is: 73,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,036 : 53,676 = 53,676 : x
  2. Step 2: Convert to fraction form
    39,036/53,676 = 53,676/x
  3. Step 3: Cross multiply
    39,036x = 53,676 × 53,676
  4. Step 4: Simplify right side
    39,036x = 2,881,112,976
  5. Step 5: Solve for x
    x = 2,881,112,976/39,036
  6. Step 6: Final answer
    x = 73,806.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.