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Finding the Third Proportional to 3,475.83 and 7,181.58

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Solution

The third proportional to 3,475.83 and 7,181.58 is: 14,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.83 : 7,181.58 = 7,181.58 : x
  2. Step 2: Convert to fraction form
    3,475.83/7,181.58 = 7,181.58/x
  3. Step 3: Cross multiply
    3,475.83x = 7,181.58 × 7,181.58
  4. Step 4: Simplify right side
    3,475.83x = 51,575,064.37
  5. Step 5: Solve for x
    x = 51,575,064.37/3,475.83
  6. Step 6: Final answer
    x = 14,838.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.