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Finding the Third Proportional to 36,463.56 and 79,675.63

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Solution

The third proportional to 36,463.56 and 79,675.63 is: 174,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463.56 : 79,675.63 = 79,675.63 : x
  2. Step 2: Convert to fraction form
    36,463.56/79,675.63 = 79,675.63/x
  3. Step 3: Cross multiply
    36,463.56x = 79,675.63 × 79,675.63
  4. Step 4: Simplify right side
    36,463.56x = 6,348,205,219.14
  5. Step 5: Solve for x
    x = 6,348,205,219.14/36,463.56
  6. Step 6: Final answer
    x = 174,097.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.