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Finding the Third Proportional to 24,104 and 35,050

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Solution

The third proportional to 24,104 and 35,050 is: 50,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,104 : 35,050 = 35,050 : x
  2. Step 2: Convert to fraction form
    24,104/35,050 = 35,050/x
  3. Step 3: Cross multiply
    24,104x = 35,050 × 35,050
  4. Step 4: Simplify right side
    24,104x = 1,228,502,500
  5. Step 5: Solve for x
    x = 1,228,502,500/24,104
  6. Step 6: Final answer
    x = 50,966.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.