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Finding the Third Proportional to 20,719.97 and 32,128.31

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Solution

The third proportional to 20,719.97 and 32,128.31 is: 49,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.97 : 32,128.31 = 32,128.31 : x
  2. Step 2: Convert to fraction form
    20,719.97/32,128.31 = 32,128.31/x
  3. Step 3: Cross multiply
    20,719.97x = 32,128.31 × 32,128.31
  4. Step 4: Simplify right side
    20,719.97x = 1,032,228,464.10
  5. Step 5: Solve for x
    x = 1,032,228,464.10/20,719.97
  6. Step 6: Final answer
    x = 49,818.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.