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Finding the Third Proportional to 17,853 and 36,525

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Solution

The third proportional to 17,853 and 36,525 is: 74,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853 : 36,525 = 36,525 : x
  2. Step 2: Convert to fraction form
    17,853/36,525 = 36,525/x
  3. Step 3: Cross multiply
    17,853x = 36,525 × 36,525
  4. Step 4: Simplify right side
    17,853x = 1,334,075,625
  5. Step 5: Solve for x
    x = 1,334,075,625/17,853
  6. Step 6: Final answer
    x = 74,725.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.