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Finding the Third Proportional to 29,013 and 43,507.50

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Solution

The third proportional to 29,013 and 43,507.50 is: 65,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,013 : 43,507.50 = 43,507.50 : x
  2. Step 2: Convert to fraction form
    29,013/43,507.50 = 43,507.50/x
  3. Step 3: Cross multiply
    29,013x = 43,507.50 × 43,507.50
  4. Step 4: Simplify right side
    29,013x = 1,892,902,556.25
  5. Step 5: Solve for x
    x = 1,892,902,556.25/29,013
  6. Step 6: Final answer
    x = 65,243.25

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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.