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Finding the Third Proportional to 38,457 and 81,828

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Solution

The third proportional to 38,457 and 81,828 is: 174,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 81,828 = 81,828 : x
  2. Step 2: Convert to fraction form
    38,457/81,828 = 81,828/x
  3. Step 3: Cross multiply
    38,457x = 81,828 × 81,828
  4. Step 4: Simplify right side
    38,457x = 6,695,821,584
  5. Step 5: Solve for x
    x = 6,695,821,584/38,457
  6. Step 6: Final answer
    x = 174,111.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.