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Finding the Third Proportional to 25,031 and 58,203

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Solution

The third proportional to 25,031 and 58,203 is: 135,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,031 : 58,203 = 58,203 : x
  2. Step 2: Convert to fraction form
    25,031/58,203 = 58,203/x
  3. Step 3: Cross multiply
    25,031x = 58,203 × 58,203
  4. Step 4: Simplify right side
    25,031x = 3,387,589,209
  5. Step 5: Solve for x
    x = 3,387,589,209/25,031
  6. Step 6: Final answer
    x = 135,335.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.