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Finding the Third Proportional to 23,415 and 35,903

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Solution

The third proportional to 23,415 and 35,903 is: 55,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415 : 35,903 = 35,903 : x
  2. Step 2: Convert to fraction form
    23,415/35,903 = 35,903/x
  3. Step 3: Cross multiply
    23,415x = 35,903 × 35,903
  4. Step 4: Simplify right side
    23,415x = 1,289,025,409
  5. Step 5: Solve for x
    x = 1,289,025,409/23,415
  6. Step 6: Final answer
    x = 55,051.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.