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Finding the Third Proportional to 25,734 and 38,662.88

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Solution

The third proportional to 25,734 and 38,662.88 is: 58,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734 : 38,662.88 = 38,662.88 : x
  2. Step 2: Convert to fraction form
    25,734/38,662.88 = 38,662.88/x
  3. Step 3: Cross multiply
    25,734x = 38,662.88 × 38,662.88
  4. Step 4: Simplify right side
    25,734x = 1,494,817,903.27
  5. Step 5: Solve for x
    x = 1,494,817,903.27/25,734
  6. Step 6: Final answer
    x = 58,087.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.