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Finding the Third Proportional to 35,390.25 and 78,647.63

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Solution

The third proportional to 35,390.25 and 78,647.63 is: 174,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,390.25 : 78,647.63 = 78,647.63 : x
  2. Step 2: Convert to fraction form
    35,390.25/78,647.63 = 78,647.63/x
  3. Step 3: Cross multiply
    35,390.25x = 78,647.63 × 78,647.63
  4. Step 4: Simplify right side
    35,390.25x = 6,185,448,918.14
  5. Step 5: Solve for x
    x = 6,185,448,918.14/35,390.25
  6. Step 6: Final answer
    x = 174,778.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.