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Finding the Third Proportional to 18,229 and 29,767.50

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Solution

The third proportional to 18,229 and 29,767.50 is: 48,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229 : 29,767.50 = 29,767.50 : x
  2. Step 2: Convert to fraction form
    18,229/29,767.50 = 29,767.50/x
  3. Step 3: Cross multiply
    18,229x = 29,767.50 × 29,767.50
  4. Step 4: Simplify right side
    18,229x = 886,104,056.25
  5. Step 5: Solve for x
    x = 886,104,056.25/18,229
  6. Step 6: Final answer
    x = 48,609.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.