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Finding the Third Proportional to 7,367.63 and 10,355.34

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Solution

The third proportional to 7,367.63 and 10,355.34 is: 14,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.63 : 10,355.34 = 10,355.34 : x
  2. Step 2: Convert to fraction form
    7,367.63/10,355.34 = 10,355.34/x
  3. Step 3: Cross multiply
    7,367.63x = 10,355.34 × 10,355.34
  4. Step 4: Simplify right side
    7,367.63x = 107,233,144.18
  5. Step 5: Solve for x
    x = 107,233,144.18/7,367.63
  6. Step 6: Final answer
    x = 14,554.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.