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Finding the Third Proportional to 15,800 and 23,050

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Solution

The third proportional to 15,800 and 23,050 is: 33,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800 : 23,050 = 23,050 : x
  2. Step 2: Convert to fraction form
    15,800/23,050 = 23,050/x
  3. Step 3: Cross multiply
    15,800x = 23,050 × 23,050
  4. Step 4: Simplify right side
    15,800x = 531,302,500
  5. Step 5: Solve for x
    x = 531,302,500/15,800
  6. Step 6: Final answer
    x = 33,626.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.