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Finding the Third Proportional to 27,735 and 39,063

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Solution

The third proportional to 27,735 and 39,063 is: 55,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735 : 39,063 = 39,063 : x
  2. Step 2: Convert to fraction form
    27,735/39,063 = 39,063/x
  3. Step 3: Cross multiply
    27,735x = 39,063 × 39,063
  4. Step 4: Simplify right side
    27,735x = 1,525,917,969
  5. Step 5: Solve for x
    x = 1,525,917,969/27,735
  6. Step 6: Final answer
    x = 55,017.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.