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Finding the Third Proportional to 9,228.94 and 21,295.41

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Solution

The third proportional to 9,228.94 and 21,295.41 is: 49,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.94 : 21,295.41 = 21,295.41 : x
  2. Step 2: Convert to fraction form
    9,228.94/21,295.41 = 21,295.41/x
  3. Step 3: Cross multiply
    9,228.94x = 21,295.41 × 21,295.41
  4. Step 4: Simplify right side
    9,228.94x = 453,494,327.35
  5. Step 5: Solve for x
    x = 453,494,327.35/9,228.94
  6. Step 6: Final answer
    x = 49,138.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.