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Finding the Third Proportional to 16,688.25 and 25,989.75

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Solution

The third proportional to 16,688.25 and 25,989.75 is: 40,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.25 : 25,989.75 = 25,989.75 : x
  2. Step 2: Convert to fraction form
    16,688.25/25,989.75 = 25,989.75/x
  3. Step 3: Cross multiply
    16,688.25x = 25,989.75 × 25,989.75
  4. Step 4: Simplify right side
    16,688.25x = 675,467,105.06
  5. Step 5: Solve for x
    x = 675,467,105.06/16,688.25
  6. Step 6: Final answer
    x = 40,475.61

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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.