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Finding the Third Proportional to 20,505.25 and 33,482.75

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Solution

The third proportional to 20,505.25 and 33,482.75 is: 54,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.25 : 33,482.75 = 33,482.75 : x
  2. Step 2: Convert to fraction form
    20,505.25/33,482.75 = 33,482.75/x
  3. Step 3: Cross multiply
    20,505.25x = 33,482.75 × 33,482.75
  4. Step 4: Simplify right side
    20,505.25x = 1,121,094,547.56
  5. Step 5: Solve for x
    x = 1,121,094,547.56/20,505.25
  6. Step 6: Final answer
    x = 54,673.54

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.