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Finding the Third Proportional to 43,871.63 and 69,755.63

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Solution

The third proportional to 43,871.63 and 69,755.63 is: 110,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,871.63 : 69,755.63 = 69,755.63 : x
  2. Step 2: Convert to fraction form
    43,871.63/69,755.63 = 69,755.63/x
  3. Step 3: Cross multiply
    43,871.63x = 69,755.63 × 69,755.63
  4. Step 4: Simplify right side
    43,871.63x = 4,865,847,219.14
  5. Step 5: Solve for x
    x = 4,865,847,219.14/43,871.63
  6. Step 6: Final answer
    x = 110,911.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.