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Finding the Third Proportional to 7,172.16 and 11,852.44

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Solution

The third proportional to 7,172.16 and 11,852.44 is: 19,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.16 : 11,852.44 = 11,852.44 : x
  2. Step 2: Convert to fraction form
    7,172.16/11,852.44 = 11,852.44/x
  3. Step 3: Cross multiply
    7,172.16x = 11,852.44 × 11,852.44
  4. Step 4: Simplify right side
    7,172.16x = 140,480,274.69
  5. Step 5: Solve for x
    x = 140,480,274.69/7,172.16
  6. Step 6: Final answer
    x = 19,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.