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Finding the Third Proportional to 39,804 and 62,127

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Solution

The third proportional to 39,804 and 62,127 is: 96,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804 : 62,127 = 62,127 : x
  2. Step 2: Convert to fraction form
    39,804/62,127 = 62,127/x
  3. Step 3: Cross multiply
    39,804x = 62,127 × 62,127
  4. Step 4: Simplify right side
    39,804x = 3,859,764,129
  5. Step 5: Solve for x
    x = 3,859,764,129/39,804
  6. Step 6: Final answer
    x = 96,969.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.