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Finding the Third Proportional to 9,237.80 and 20,321.30

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Solution

The third proportional to 9,237.80 and 20,321.30 is: 44,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.80 : 20,321.30 = 20,321.30 : x
  2. Step 2: Convert to fraction form
    9,237.80/20,321.30 = 20,321.30/x
  3. Step 3: Cross multiply
    9,237.80x = 20,321.30 × 20,321.30
  4. Step 4: Simplify right side
    9,237.80x = 412,955,106.68
  5. Step 5: Solve for x
    x = 412,955,106.68/9,237.80
  6. Step 6: Final answer
    x = 44,702.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.