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Finding the Third Proportional to 9,573.82 and 14,634.11

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Solution

The third proportional to 9,573.82 and 14,634.11 is: 22,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.82 : 14,634.11 = 14,634.11 : x
  2. Step 2: Convert to fraction form
    9,573.82/14,634.11 = 14,634.11/x
  3. Step 3: Cross multiply
    9,573.82x = 14,634.11 × 14,634.11
  4. Step 4: Simplify right side
    9,573.82x = 214,157,042.87
  5. Step 5: Solve for x
    x = 214,157,042.87/9,573.82
  6. Step 6: Final answer
    x = 22,369.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.