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Finding the Third Proportional to 16,297.75 and 25,904.75

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Solution

The third proportional to 16,297.75 and 25,904.75 is: 41,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.75 : 25,904.75 = 25,904.75 : x
  2. Step 2: Convert to fraction form
    16,297.75/25,904.75 = 25,904.75/x
  3. Step 3: Cross multiply
    16,297.75x = 25,904.75 × 25,904.75
  4. Step 4: Simplify right side
    16,297.75x = 671,056,072.56
  5. Step 5: Solve for x
    x = 671,056,072.56/16,297.75
  6. Step 6: Final answer
    x = 41,174.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.