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Finding the Third Proportional to 2,445.42 and 3,703.38

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Solution

The third proportional to 2,445.42 and 3,703.38 is: 5,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.42 : 3,703.38 = 3,703.38 : x
  2. Step 2: Convert to fraction form
    2,445.42/3,703.38 = 3,703.38/x
  3. Step 3: Cross multiply
    2,445.42x = 3,703.38 × 3,703.38
  4. Step 4: Simplify right side
    2,445.42x = 13,715,000.86
  5. Step 5: Solve for x
    x = 13,715,000.86/2,445.42
  6. Step 6: Final answer
    x = 5,608.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.