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Finding the Third Proportional to 16,548.50 and 23,148.75

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Solution

The third proportional to 16,548.50 and 23,148.75 is: 32,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.50 : 23,148.75 = 23,148.75 : x
  2. Step 2: Convert to fraction form
    16,548.50/23,148.75 = 23,148.75/x
  3. Step 3: Cross multiply
    16,548.50x = 23,148.75 × 23,148.75
  4. Step 4: Simplify right side
    16,548.50x = 535,864,626.56
  5. Step 5: Solve for x
    x = 535,864,626.56/16,548.50
  6. Step 6: Final answer
    x = 32,381.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.