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Finding the Third Proportional to 10,731 and 16,415.25

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Solution

The third proportional to 10,731 and 16,415.25 is: 25,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731 : 16,415.25 = 16,415.25 : x
  2. Step 2: Convert to fraction form
    10,731/16,415.25 = 16,415.25/x
  3. Step 3: Cross multiply
    10,731x = 16,415.25 × 16,415.25
  4. Step 4: Simplify right side
    10,731x = 269,460,432.56
  5. Step 5: Solve for x
    x = 269,460,432.56/10,731
  6. Step 6: Final answer
    x = 25,110.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.