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Finding the Third Proportional to 6,479.44 and 14,177.25

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Solution

The third proportional to 6,479.44 and 14,177.25 is: 31,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.44 : 14,177.25 = 14,177.25 : x
  2. Step 2: Convert to fraction form
    6,479.44/14,177.25 = 14,177.25/x
  3. Step 3: Cross multiply
    6,479.44x = 14,177.25 × 14,177.25
  4. Step 4: Simplify right side
    6,479.44x = 200,994,417.56
  5. Step 5: Solve for x
    x = 200,994,417.56/6,479.44
  6. Step 6: Final answer
    x = 31,020.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.