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Finding the Third Proportional to 20,256.75 and 32,047.31

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Solution

The third proportional to 20,256.75 and 32,047.31 is: 50,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256.75 : 32,047.31 = 32,047.31 : x
  2. Step 2: Convert to fraction form
    20,256.75/32,047.31 = 32,047.31/x
  3. Step 3: Cross multiply
    20,256.75x = 32,047.31 × 32,047.31
  4. Step 4: Simplify right side
    20,256.75x = 1,027,030,238.47
  5. Step 5: Solve for x
    x = 1,027,030,238.47/20,256.75
  6. Step 6: Final answer
    x = 50,700.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.