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Finding the Third Proportional to 29,489.06 and 43,322.34

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Solution

The third proportional to 29,489.06 and 43,322.34 is: 63,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489.06 : 43,322.34 = 43,322.34 : x
  2. Step 2: Convert to fraction form
    29,489.06/43,322.34 = 43,322.34/x
  3. Step 3: Cross multiply
    29,489.06x = 43,322.34 × 43,322.34
  4. Step 4: Simplify right side
    29,489.06x = 1,876,825,467.99
  5. Step 5: Solve for x
    x = 1,876,825,467.99/29,489.06
  6. Step 6: Final answer
    x = 63,644.80

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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.