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Finding the Third Proportional to 16,704 and 25,864

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Solution

The third proportional to 16,704 and 25,864 is: 40,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 25,864 = 25,864 : x
  2. Step 2: Convert to fraction form
    16,704/25,864 = 25,864/x
  3. Step 3: Cross multiply
    16,704x = 25,864 × 25,864
  4. Step 4: Simplify right side
    16,704x = 668,946,496
  5. Step 5: Solve for x
    x = 668,946,496/16,704
  6. Step 6: Final answer
    x = 40,047.08

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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.