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Finding the Third Proportional to 30,827 and 44,050

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Solution

The third proportional to 30,827 and 44,050 is: 62,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827 : 44,050 = 44,050 : x
  2. Step 2: Convert to fraction form
    30,827/44,050 = 44,050/x
  3. Step 3: Cross multiply
    30,827x = 44,050 × 44,050
  4. Step 4: Simplify right side
    30,827x = 1,940,402,500
  5. Step 5: Solve for x
    x = 1,940,402,500/30,827
  6. Step 6: Final answer
    x = 62,944.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.