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Finding the Third Proportional to 16,827.75 and 26,790.75

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Solution

The third proportional to 16,827.75 and 26,790.75 is: 42,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.75 : 26,790.75 = 26,790.75 : x
  2. Step 2: Convert to fraction form
    16,827.75/26,790.75 = 26,790.75/x
  3. Step 3: Cross multiply
    16,827.75x = 26,790.75 × 26,790.75
  4. Step 4: Simplify right side
    16,827.75x = 717,744,285.56
  5. Step 5: Solve for x
    x = 717,744,285.56/16,827.75
  6. Step 6: Final answer
    x = 42,652.42

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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.