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Finding the Third Proportional to 32,023.25 and 51,157.88

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Solution

The third proportional to 32,023.25 and 51,157.88 is: 81,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.25 : 51,157.88 = 51,157.88 : x
  2. Step 2: Convert to fraction form
    32,023.25/51,157.88 = 51,157.88/x
  3. Step 3: Cross multiply
    32,023.25x = 51,157.88 × 51,157.88
  4. Step 4: Simplify right side
    32,023.25x = 2,617,128,174.52
  5. Step 5: Solve for x
    x = 2,617,128,174.52/32,023.25
  6. Step 6: Final answer
    x = 81,725.88

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.