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Finding the Third Proportional to 6,330.34 and 13,775.54

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Solution

The third proportional to 6,330.34 and 13,775.54 is: 29,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.34 : 13,775.54 = 13,775.54 : x
  2. Step 2: Convert to fraction form
    6,330.34/13,775.54 = 13,775.54/x
  3. Step 3: Cross multiply
    6,330.34x = 13,775.54 × 13,775.54
  4. Step 4: Simplify right side
    6,330.34x = 189,765,422.65
  5. Step 5: Solve for x
    x = 189,765,422.65/6,330.34
  6. Step 6: Final answer
    x = 29,977.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.