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Finding the Third Proportional to 8,429 and 12,141.25

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Solution

The third proportional to 8,429 and 12,141.25 is: 17,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429 : 12,141.25 = 12,141.25 : x
  2. Step 2: Convert to fraction form
    8,429/12,141.25 = 12,141.25/x
  3. Step 3: Cross multiply
    8,429x = 12,141.25 × 12,141.25
  4. Step 4: Simplify right side
    8,429x = 147,409,951.56
  5. Step 5: Solve for x
    x = 147,409,951.56/8,429
  6. Step 6: Final answer
    x = 17,488.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.