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Finding the Third Proportional to 2,403.42 and 6,072.47

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Solution

The third proportional to 2,403.42 and 6,072.47 is: 15,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.42 : 6,072.47 = 6,072.47 : x
  2. Step 2: Convert to fraction form
    2,403.42/6,072.47 = 6,072.47/x
  3. Step 3: Cross multiply
    2,403.42x = 6,072.47 × 6,072.47
  4. Step 4: Simplify right side
    2,403.42x = 36,874,876.72
  5. Step 5: Solve for x
    x = 36,874,876.72/2,403.42
  6. Step 6: Final answer
    x = 15,342.66

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.