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Finding the Third Proportional to 23,689.97 and 51,181.88

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Solution

The third proportional to 23,689.97 and 51,181.88 is: 110,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.97 : 51,181.88 = 51,181.88 : x
  2. Step 2: Convert to fraction form
    23,689.97/51,181.88 = 51,181.88/x
  3. Step 3: Cross multiply
    23,689.97x = 51,181.88 × 51,181.88
  4. Step 4: Simplify right side
    23,689.97x = 2,619,584,328.52
  5. Step 5: Solve for x
    x = 2,619,584,328.52/23,689.97
  6. Step 6: Final answer
    x = 110,577.79

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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.