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Finding the Third Proportional to 8,232 and 12,898

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Solution

The third proportional to 8,232 and 12,898 is: 20,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,898 = 12,898 : x
  2. Step 2: Convert to fraction form
    8,232/12,898 = 12,898/x
  3. Step 3: Cross multiply
    8,232x = 12,898 × 12,898
  4. Step 4: Simplify right side
    8,232x = 166,358,404
  5. Step 5: Solve for x
    x = 166,358,404/8,232
  6. Step 6: Final answer
    x = 20,208.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.