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Finding the Third Proportional to 16,689.25 and 25,991.25

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Solution

The third proportional to 16,689.25 and 25,991.25 is: 40,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.25 : 25,991.25 = 25,991.25 : x
  2. Step 2: Convert to fraction form
    16,689.25/25,991.25 = 25,991.25/x
  3. Step 3: Cross multiply
    16,689.25x = 25,991.25 × 25,991.25
  4. Step 4: Simplify right side
    16,689.25x = 675,545,076.56
  5. Step 5: Solve for x
    x = 675,545,076.56/16,689.25
  6. Step 6: Final answer
    x = 40,477.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.