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Finding the Third Proportional to 23,698.20 and 51,546.38

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Solution

The third proportional to 23,698.20 and 51,546.38 is: 112,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.20 : 51,546.38 = 51,546.38 : x
  2. Step 2: Convert to fraction form
    23,698.20/51,546.38 = 51,546.38/x
  3. Step 3: Cross multiply
    23,698.20x = 51,546.38 × 51,546.38
  4. Step 4: Simplify right side
    23,698.20x = 2,657,028,775.64
  5. Step 5: Solve for x
    x = 2,657,028,775.64/23,698.20
  6. Step 6: Final answer
    x = 112,119.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.