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Finding the Third Proportional to 27,968.63 and 61,252.88

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Solution

The third proportional to 27,968.63 and 61,252.88 is: 134,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.63 : 61,252.88 = 61,252.88 : x
  2. Step 2: Convert to fraction form
    27,968.63/61,252.88 = 61,252.88/x
  3. Step 3: Cross multiply
    27,968.63x = 61,252.88 × 61,252.88
  4. Step 4: Simplify right side
    27,968.63x = 3,751,914,695.77
  5. Step 5: Solve for x
    x = 3,751,914,695.77/27,968.63
  6. Step 6: Final answer
    x = 134,147.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.