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Finding the Third Proportional to 27,745.88 and 42,919.88

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Solution

The third proportional to 27,745.88 and 42,919.88 is: 66,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.88 : 42,919.88 = 42,919.88 : x
  2. Step 2: Convert to fraction form
    27,745.88/42,919.88 = 42,919.88/x
  3. Step 3: Cross multiply
    27,745.88x = 42,919.88 × 42,919.88
  4. Step 4: Simplify right side
    27,745.88x = 1,842,115,670.02
  5. Step 5: Solve for x
    x = 1,842,115,670.02/27,745.88
  6. Step 6: Final answer
    x = 66,392.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.