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Finding the Third Proportional to 24,194.44 and 52,096.69

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Solution

The third proportional to 24,194.44 and 52,096.69 is: 112,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.44 : 52,096.69 = 52,096.69 : x
  2. Step 2: Convert to fraction form
    24,194.44/52,096.69 = 52,096.69/x
  3. Step 3: Cross multiply
    24,194.44x = 52,096.69 × 52,096.69
  4. Step 4: Simplify right side
    24,194.44x = 2,714,064,848.47
  5. Step 5: Solve for x
    x = 2,714,064,848.47/24,194.44
  6. Step 6: Final answer
    x = 112,177.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.