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Finding the Third Proportional to 25,407.75 and 37,743.19

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Solution

The third proportional to 25,407.75 and 37,743.19 is: 56,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.75 : 37,743.19 = 37,743.19 : x
  2. Step 2: Convert to fraction form
    25,407.75/37,743.19 = 37,743.19/x
  3. Step 3: Cross multiply
    25,407.75x = 37,743.19 × 37,743.19
  4. Step 4: Simplify right side
    25,407.75x = 1,424,548,202.66
  5. Step 5: Solve for x
    x = 1,424,548,202.66/25,407.75
  6. Step 6: Final answer
    x = 56,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.