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Finding the Third Proportional to 30,804 and 64,828

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Solution

The third proportional to 30,804 and 64,828 is: 136,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804 : 64,828 = 64,828 : x
  2. Step 2: Convert to fraction form
    30,804/64,828 = 64,828/x
  3. Step 3: Cross multiply
    30,804x = 64,828 × 64,828
  4. Step 4: Simplify right side
    30,804x = 4,202,669,584
  5. Step 5: Solve for x
    x = 4,202,669,584/30,804
  6. Step 6: Final answer
    x = 136,432.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.