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Finding the Third Proportional to 36,298.41 and 79,583.06

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Solution

The third proportional to 36,298.41 and 79,583.06 is: 174,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.41 : 79,583.06 = 79,583.06 : x
  2. Step 2: Convert to fraction form
    36,298.41/79,583.06 = 79,583.06/x
  3. Step 3: Cross multiply
    36,298.41x = 79,583.06 × 79,583.06
  4. Step 4: Simplify right side
    36,298.41x = 6,333,463,836.88
  5. Step 5: Solve for x
    x = 6,333,463,836.88/36,298.41
  6. Step 6: Final answer
    x = 174,483.25

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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.