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Finding the Third Proportional to 36,239.06 and 77,837.06

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Solution

The third proportional to 36,239.06 and 77,837.06 is: 167,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,239.06 : 77,837.06 = 77,837.06 : x
  2. Step 2: Convert to fraction form
    36,239.06/77,837.06 = 77,837.06/x
  3. Step 3: Cross multiply
    36,239.06x = 77,837.06 × 77,837.06
  4. Step 4: Simplify right side
    36,239.06x = 6,058,608,298.63
  5. Step 5: Solve for x
    x = 6,058,608,298.63/36,239.06
  6. Step 6: Final answer
    x = 167,184.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.