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Finding the Third Proportional to 19,305 and 29,163.38

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Solution

The third proportional to 19,305 and 29,163.38 is: 44,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 29,163.38 = 29,163.38 : x
  2. Step 2: Convert to fraction form
    19,305/29,163.38 = 29,163.38/x
  3. Step 3: Cross multiply
    19,305x = 29,163.38 × 29,163.38
  4. Step 4: Simplify right side
    19,305x = 850,502,441.39
  5. Step 5: Solve for x
    x = 850,502,441.39/19,305
  6. Step 6: Final answer
    x = 44,056.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.