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Finding the Third Proportional to 24,321.94 and 52,396.03

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Solution

The third proportional to 24,321.94 and 52,396.03 is: 112,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.94 : 52,396.03 = 52,396.03 : x
  2. Step 2: Convert to fraction form
    24,321.94/52,396.03 = 52,396.03/x
  3. Step 3: Cross multiply
    24,321.94x = 52,396.03 × 52,396.03
  4. Step 4: Simplify right side
    24,321.94x = 2,745,344,090.75
  5. Step 5: Solve for x
    x = 2,745,344,090.75/24,321.94
  6. Step 6: Final answer
    x = 112,875.22

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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.