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Finding the Third Proportional to 38,964.56 and 84,009.75

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Solution

The third proportional to 38,964.56 and 84,009.75 is: 181,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964.56 : 84,009.75 = 84,009.75 : x
  2. Step 2: Convert to fraction form
    38,964.56/84,009.75 = 84,009.75/x
  3. Step 3: Cross multiply
    38,964.56x = 84,009.75 × 84,009.75
  4. Step 4: Simplify right side
    38,964.56x = 7,057,638,095.06
  5. Step 5: Solve for x
    x = 7,057,638,095.06/38,964.56
  6. Step 6: Final answer
    x = 181,129.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.