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Finding the Third Proportional to 36,802.13 and 79,431.75

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Solution

The third proportional to 36,802.13 and 79,431.75 is: 171,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.13 : 79,431.75 = 79,431.75 : x
  2. Step 2: Convert to fraction form
    36,802.13/79,431.75 = 79,431.75/x
  3. Step 3: Cross multiply
    36,802.13x = 79,431.75 × 79,431.75
  4. Step 4: Simplify right side
    36,802.13x = 6,309,402,908.06
  5. Step 5: Solve for x
    x = 6,309,402,908.06/36,802.13
  6. Step 6: Final answer
    x = 171,441.27

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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.