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Finding the Third Proportional to 3,475.88 and 7,181.63

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Solution

The third proportional to 3,475.88 and 7,181.63 is: 14,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.88 : 7,181.63 = 7,181.63 : x
  2. Step 2: Convert to fraction form
    3,475.88/7,181.63 = 7,181.63/x
  3. Step 3: Cross multiply
    3,475.88x = 7,181.63 × 7,181.63
  4. Step 4: Simplify right side
    3,475.88x = 51,575,737.64
  5. Step 5: Solve for x
    x = 51,575,737.64/3,475.88
  6. Step 6: Final answer
    x = 14,838.20

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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.