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Finding the Third Proportional to 6,554.34 and 9,832.22

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Solution

The third proportional to 6,554.34 and 9,832.22 is: 14,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.34 : 9,832.22 = 9,832.22 : x
  2. Step 2: Convert to fraction form
    6,554.34/9,832.22 = 9,832.22/x
  3. Step 3: Cross multiply
    6,554.34x = 9,832.22 × 9,832.22
  4. Step 4: Simplify right side
    6,554.34x = 96,672,525.55
  5. Step 5: Solve for x
    x = 96,672,525.55/6,554.34
  6. Step 6: Final answer
    x = 14,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.