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Finding the Third Proportional to 25,712.44 and 40,072.22

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Solution

The third proportional to 25,712.44 and 40,072.22 is: 62,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.44 : 40,072.22 = 40,072.22 : x
  2. Step 2: Convert to fraction form
    25,712.44/40,072.22 = 40,072.22/x
  3. Step 3: Cross multiply
    25,712.44x = 40,072.22 × 40,072.22
  4. Step 4: Simplify right side
    25,712.44x = 1,605,782,715.55
  5. Step 5: Solve for x
    x = 1,605,782,715.55/25,712.44
  6. Step 6: Final answer
    x = 62,451.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.