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Finding the Third Proportional to 20,725.24 and 48,716.75

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Solution

The third proportional to 20,725.24 and 48,716.75 is: 114,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.24 : 48,716.75 = 48,716.75 : x
  2. Step 2: Convert to fraction form
    20,725.24/48,716.75 = 48,716.75/x
  3. Step 3: Cross multiply
    20,725.24x = 48,716.75 × 48,716.75
  4. Step 4: Simplify right side
    20,725.24x = 2,373,322,111.16
  5. Step 5: Solve for x
    x = 2,373,322,111.16/20,725.24
  6. Step 6: Final answer
    x = 114,513.60

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.