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Finding the Third Proportional to 27,676.69 and 59,729.06

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Solution

The third proportional to 27,676.69 and 59,729.06 is: 128,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.69 : 59,729.06 = 59,729.06 : x
  2. Step 2: Convert to fraction form
    27,676.69/59,729.06 = 59,729.06/x
  3. Step 3: Cross multiply
    27,676.69x = 59,729.06 × 59,729.06
  4. Step 4: Simplify right side
    27,676.69x = 3,567,560,907.13
  5. Step 5: Solve for x
    x = 3,567,560,907.13/27,676.69
  6. Step 6: Final answer
    x = 128,901.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.