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Finding the Third Proportional to 27,965.25 and 42,676.88

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Solution

The third proportional to 27,965.25 and 42,676.88 is: 65,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.25 : 42,676.88 = 42,676.88 : x
  2. Step 2: Convert to fraction form
    27,965.25/42,676.88 = 42,676.88/x
  3. Step 3: Cross multiply
    27,965.25x = 42,676.88 × 42,676.88
  4. Step 4: Simplify right side
    27,965.25x = 1,821,315,659.77
  5. Step 5: Solve for x
    x = 1,821,315,659.77/27,965.25
  6. Step 6: Final answer
    x = 65,127.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.