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Finding the Third Proportional to 31,467.94 and 66,580.31

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Solution

The third proportional to 31,467.94 and 66,580.31 is: 140,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.94 : 66,580.31 = 66,580.31 : x
  2. Step 2: Convert to fraction form
    31,467.94/66,580.31 = 66,580.31/x
  3. Step 3: Cross multiply
    31,467.94x = 66,580.31 × 66,580.31
  4. Step 4: Simplify right side
    31,467.94x = 4,432,938,012.60
  5. Step 5: Solve for x
    x = 4,432,938,012.60/31,467.94
  6. Step 6: Final answer
    x = 140,871.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.