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Finding the Third Proportional to 22,649.63 and 43,233.75

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Solution

The third proportional to 22,649.63 and 43,233.75 is: 82,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.63 : 43,233.75 = 43,233.75 : x
  2. Step 2: Convert to fraction form
    22,649.63/43,233.75 = 43,233.75/x
  3. Step 3: Cross multiply
    22,649.63x = 43,233.75 × 43,233.75
  4. Step 4: Simplify right side
    22,649.63x = 1,869,157,139.06
  5. Step 5: Solve for x
    x = 1,869,157,139.06/22,649.63
  6. Step 6: Final answer
    x = 82,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.