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Finding the Third Proportional to 3,051.42 and 3,750.05

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Solution

The third proportional to 3,051.42 and 3,750.05 is: 4,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.42 : 3,750.05 = 3,750.05 : x
  2. Step 2: Convert to fraction form
    3,051.42/3,750.05 = 3,750.05/x
  3. Step 3: Cross multiply
    3,051.42x = 3,750.05 × 3,750.05
  4. Step 4: Simplify right side
    3,051.42x = 14,062,851.56
  5. Step 5: Solve for x
    x = 14,062,851.56/3,051.42
  6. Step 6: Final answer
    x = 4,608.62

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.