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Finding the Third Proportional to 28,208 and 43,535

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Solution

The third proportional to 28,208 and 43,535 is: 67,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,208 : 43,535 = 43,535 : x
  2. Step 2: Convert to fraction form
    28,208/43,535 = 43,535/x
  3. Step 3: Cross multiply
    28,208x = 43,535 × 43,535
  4. Step 4: Simplify right side
    28,208x = 1,895,296,225
  5. Step 5: Solve for x
    x = 1,895,296,225/28,208
  6. Step 6: Final answer
    x = 67,190.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.