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Finding the Third Proportional to 29,743 and 43,621.50

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Solution

The third proportional to 29,743 and 43,621.50 is: 63,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743 : 43,621.50 = 43,621.50 : x
  2. Step 2: Convert to fraction form
    29,743/43,621.50 = 43,621.50/x
  3. Step 3: Cross multiply
    29,743x = 43,621.50 × 43,621.50
  4. Step 4: Simplify right side
    29,743x = 1,902,835,262.25
  5. Step 5: Solve for x
    x = 1,902,835,262.25/29,743
  6. Step 6: Final answer
    x = 63,975.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.