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Finding the Third Proportional to 15,903 and 27,085

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Solution

The third proportional to 15,903 and 27,085 is: 46,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903 : 27,085 = 27,085 : x
  2. Step 2: Convert to fraction form
    15,903/27,085 = 27,085/x
  3. Step 3: Cross multiply
    15,903x = 27,085 × 27,085
  4. Step 4: Simplify right side
    15,903x = 733,597,225
  5. Step 5: Solve for x
    x = 733,597,225/15,903
  6. Step 6: Final answer
    x = 46,129.49

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.