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Finding the Third Proportional to 23,193 and 35,004.38

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Solution

The third proportional to 23,193 and 35,004.38 is: 52,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 35,004.38 = 35,004.38 : x
  2. Step 2: Convert to fraction form
    23,193/35,004.38 = 35,004.38/x
  3. Step 3: Cross multiply
    23,193x = 35,004.38 × 35,004.38
  4. Step 4: Simplify right side
    23,193x = 1,225,306,269.14
  5. Step 5: Solve for x
    x = 1,225,306,269.14/23,193
  6. Step 6: Final answer
    x = 52,830.87

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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.