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Finding the Third Proportional to 43,871.63 and 66,202.31

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Solution

The third proportional to 43,871.63 and 66,202.31 is: 99,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,871.63 : 66,202.31 = 66,202.31 : x
  2. Step 2: Convert to fraction form
    43,871.63/66,202.31 = 66,202.31/x
  3. Step 3: Cross multiply
    43,871.63x = 66,202.31 × 66,202.31
  4. Step 4: Simplify right side
    43,871.63x = 4,382,746,180.35
  5. Step 5: Solve for x
    x = 4,382,746,180.35/43,871.63
  6. Step 6: Final answer
    x = 99,899.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.