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Finding the Third Proportional to 24,559 and 37,543

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Solution

The third proportional to 24,559 and 37,543 is: 57,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,559 : 37,543 = 37,543 : x
  2. Step 2: Convert to fraction form
    24,559/37,543 = 37,543/x
  3. Step 3: Cross multiply
    24,559x = 37,543 × 37,543
  4. Step 4: Simplify right side
    24,559x = 1,409,476,849
  5. Step 5: Solve for x
    x = 1,409,476,849/24,559
  6. Step 6: Final answer
    x = 57,391.46

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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.