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Finding the Third Proportional to 16,164.50 and 25,088

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Solution

The third proportional to 16,164.50 and 25,088 is: 38,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.50 : 25,088 = 25,088 : x
  2. Step 2: Convert to fraction form
    16,164.50/25,088 = 25,088/x
  3. Step 3: Cross multiply
    16,164.50x = 25,088 × 25,088
  4. Step 4: Simplify right side
    16,164.50x = 629,407,744
  5. Step 5: Solve for x
    x = 629,407,744/16,164.50
  6. Step 6: Final answer
    x = 38,937.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.