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Finding the Third Proportional to 36,743.63 and 78,296.63

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Solution

The third proportional to 36,743.63 and 78,296.63 is: 166,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,743.63 : 78,296.63 = 78,296.63 : x
  2. Step 2: Convert to fraction form
    36,743.63/78,296.63 = 78,296.63/x
  3. Step 3: Cross multiply
    36,743.63x = 78,296.63 × 78,296.63
  4. Step 4: Simplify right side
    36,743.63x = 6,130,361,486.39
  5. Step 5: Solve for x
    x = 6,130,361,486.39/36,743.63
  6. Step 6: Final answer
    x = 166,841.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.