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Finding the Third Proportional to 19,586 and 28,559

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Solution

The third proportional to 19,586 and 28,559 is: 41,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586 : 28,559 = 28,559 : x
  2. Step 2: Convert to fraction form
    19,586/28,559 = 28,559/x
  3. Step 3: Cross multiply
    19,586x = 28,559 × 28,559
  4. Step 4: Simplify right side
    19,586x = 815,616,481
  5. Step 5: Solve for x
    x = 815,616,481/19,586
  6. Step 6: Final answer
    x = 41,642.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.