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Finding the Third Proportional to 32,023.88 and 51,159

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Solution

The third proportional to 32,023.88 and 51,159 is: 81,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.88 : 51,159 = 51,159 : x
  2. Step 2: Convert to fraction form
    32,023.88/51,159 = 51,159/x
  3. Step 3: Cross multiply
    32,023.88x = 51,159 × 51,159
  4. Step 4: Simplify right side
    32,023.88x = 2,617,243,281
  5. Step 5: Solve for x
    x = 2,617,243,281/32,023.88
  6. Step 6: Final answer
    x = 81,727.88

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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.