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Finding the Third Proportional to 39,644.44 and 56,368.41

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Solution

The third proportional to 39,644.44 and 56,368.41 is: 80,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,644.44 : 56,368.41 = 56,368.41 : x
  2. Step 2: Convert to fraction form
    39,644.44/56,368.41 = 56,368.41/x
  3. Step 3: Cross multiply
    39,644.44x = 56,368.41 × 56,368.41
  4. Step 4: Simplify right side
    39,644.44x = 3,177,397,223.17
  5. Step 5: Solve for x
    x = 3,177,397,223.17/39,644.44
  6. Step 6: Final answer
    x = 80,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.