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Finding the Third Proportional to 28,604 and 43,757

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Solution

The third proportional to 28,604 and 43,757 is: 66,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,604 : 43,757 = 43,757 : x
  2. Step 2: Convert to fraction form
    28,604/43,757 = 43,757/x
  3. Step 3: Cross multiply
    28,604x = 43,757 × 43,757
  4. Step 4: Simplify right side
    28,604x = 1,914,675,049
  5. Step 5: Solve for x
    x = 1,914,675,049/28,604
  6. Step 6: Final answer
    x = 66,937.32

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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.