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Finding the Third Proportional to 35,241 and 52,588

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Solution

The third proportional to 35,241 and 52,588 is: 78,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241 : 52,588 = 52,588 : x
  2. Step 2: Convert to fraction form
    35,241/52,588 = 52,588/x
  3. Step 3: Cross multiply
    35,241x = 52,588 × 52,588
  4. Step 4: Simplify right side
    35,241x = 2,765,497,744
  5. Step 5: Solve for x
    x = 2,765,497,744/35,241
  6. Step 6: Final answer
    x = 78,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.