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Finding the Third Proportional to 29,937 and 43,589.25

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Solution

The third proportional to 29,937 and 43,589.25 is: 63,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937 : 43,589.25 = 43,589.25 : x
  2. Step 2: Convert to fraction form
    29,937/43,589.25 = 43,589.25/x
  3. Step 3: Cross multiply
    29,937x = 43,589.25 × 43,589.25
  4. Step 4: Simplify right side
    29,937x = 1,900,022,715.56
  5. Step 5: Solve for x
    x = 1,900,022,715.56/29,937
  6. Step 6: Final answer
    x = 63,467.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.