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Finding the Third Proportional to 31,208.25 and 45,644.44

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Solution

The third proportional to 31,208.25 and 45,644.44 is: 66,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.25 : 45,644.44 = 45,644.44 : x
  2. Step 2: Convert to fraction form
    31,208.25/45,644.44 = 45,644.44/x
  3. Step 3: Cross multiply
    31,208.25x = 45,644.44 × 45,644.44
  4. Step 4: Simplify right side
    31,208.25x = 2,083,414,674.69
  5. Step 5: Solve for x
    x = 2,083,414,674.69/31,208.25
  6. Step 6: Final answer
    x = 66,758.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.