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Finding the Third Proportional to 27,978.25 and 60,097.63

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Solution

The third proportional to 27,978.25 and 60,097.63 is: 129,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.25 : 60,097.63 = 60,097.63 : x
  2. Step 2: Convert to fraction form
    27,978.25/60,097.63 = 60,097.63/x
  3. Step 3: Cross multiply
    27,978.25x = 60,097.63 × 60,097.63
  4. Step 4: Simplify right side
    27,978.25x = 3,611,724,530.64
  5. Step 5: Solve for x
    x = 3,611,724,530.64/27,978.25
  6. Step 6: Final answer
    x = 129,090.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.