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Finding the Third Proportional to 43,051.50 and 64,620.75

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Solution

The third proportional to 43,051.50 and 64,620.75 is: 96,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,051.50 : 64,620.75 = 64,620.75 : x
  2. Step 2: Convert to fraction form
    43,051.50/64,620.75 = 64,620.75/x
  3. Step 3: Cross multiply
    43,051.50x = 64,620.75 × 64,620.75
  4. Step 4: Simplify right side
    43,051.50x = 4,175,841,330.56
  5. Step 5: Solve for x
    x = 4,175,841,330.56/43,051.50
  6. Step 6: Final answer
    x = 96,996.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.