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Finding the Third Proportional to 7,467.19 and 9,940.22

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Solution

The third proportional to 7,467.19 and 9,940.22 is: 13,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.19 : 9,940.22 = 9,940.22 : x
  2. Step 2: Convert to fraction form
    7,467.19/9,940.22 = 9,940.22/x
  3. Step 3: Cross multiply
    7,467.19x = 9,940.22 × 9,940.22
  4. Step 4: Simplify right side
    7,467.19x = 98,807,948.80
  5. Step 5: Solve for x
    x = 98,807,948.80/7,467.19
  6. Step 6: Final answer
    x = 13,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.