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Finding the Third Proportional to 23,003 and 35,733

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Solution

The third proportional to 23,003 and 35,733 is: 55,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003 : 35,733 = 35,733 : x
  2. Step 2: Convert to fraction form
    23,003/35,733 = 35,733/x
  3. Step 3: Cross multiply
    23,003x = 35,733 × 35,733
  4. Step 4: Simplify right side
    23,003x = 1,276,847,289
  5. Step 5: Solve for x
    x = 1,276,847,289/23,003
  6. Step 6: Final answer
    x = 55,507.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.