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Finding the Third Proportional to 19,512.14 and 31,779.84

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Solution

The third proportional to 19,512.14 and 31,779.84 is: 51,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.14 : 31,779.84 = 31,779.84 : x
  2. Step 2: Convert to fraction form
    19,512.14/31,779.84 = 31,779.84/x
  3. Step 3: Cross multiply
    19,512.14x = 31,779.84 × 31,779.84
  4. Step 4: Simplify right side
    19,512.14x = 1,009,958,468.77
  5. Step 5: Solve for x
    x = 1,009,958,468.77/19,512.14
  6. Step 6: Final answer
    x = 51,760.52

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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.