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Finding the Third Proportional to 23,803 and 33,475

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Solution

The third proportional to 23,803 and 33,475 is: 47,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803 : 33,475 = 33,475 : x
  2. Step 2: Convert to fraction form
    23,803/33,475 = 33,475/x
  3. Step 3: Cross multiply
    23,803x = 33,475 × 33,475
  4. Step 4: Simplify right side
    23,803x = 1,120,575,625
  5. Step 5: Solve for x
    x = 1,120,575,625/23,803
  6. Step 6: Final answer
    x = 47,077.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.