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Finding the Third Proportional to 28,457 and 41,591

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Solution

The third proportional to 28,457 and 41,591 is: 60,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,457 : 41,591 = 41,591 : x
  2. Step 2: Convert to fraction form
    28,457/41,591 = 41,591/x
  3. Step 3: Cross multiply
    28,457x = 41,591 × 41,591
  4. Step 4: Simplify right side
    28,457x = 1,729,811,281
  5. Step 5: Solve for x
    x = 1,729,811,281/28,457
  6. Step 6: Final answer
    x = 60,786.85

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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.