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Finding the Third Proportional to 7,922.81 and 12,339.21

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Solution

The third proportional to 7,922.81 and 12,339.21 is: 19,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.81 : 12,339.21 = 12,339.21 : x
  2. Step 2: Convert to fraction form
    7,922.81/12,339.21 = 12,339.21/x
  3. Step 3: Cross multiply
    7,922.81x = 12,339.21 × 12,339.21
  4. Step 4: Simplify right side
    7,922.81x = 152,256,126.56
  5. Step 5: Solve for x
    x = 152,256,126.56/7,922.81
  6. Step 6: Final answer
    x = 19,217.43

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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.