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Finding the Third Proportional to 28,769 and 41,453

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Solution

The third proportional to 28,769 and 41,453 is: 59,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,769 : 41,453 = 41,453 : x
  2. Step 2: Convert to fraction form
    28,769/41,453 = 41,453/x
  3. Step 3: Cross multiply
    28,769x = 41,453 × 41,453
  4. Step 4: Simplify right side
    28,769x = 1,718,351,209
  5. Step 5: Solve for x
    x = 1,718,351,209/28,769
  6. Step 6: Final answer
    x = 59,729.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.