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Finding the Third Proportional to 23,241 and 35,559

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Solution

The third proportional to 23,241 and 35,559 is: 54,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241 : 35,559 = 35,559 : x
  2. Step 2: Convert to fraction form
    23,241/35,559 = 35,559/x
  3. Step 3: Cross multiply
    23,241x = 35,559 × 35,559
  4. Step 4: Simplify right side
    23,241x = 1,264,442,481
  5. Step 5: Solve for x
    x = 1,264,442,481/23,241
  6. Step 6: Final answer
    x = 54,405.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.