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Finding the Third Proportional to 28,057 and 46,757

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Solution

The third proportional to 28,057 and 46,757 is: 77,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057 : 46,757 = 46,757 : x
  2. Step 2: Convert to fraction form
    28,057/46,757 = 46,757/x
  3. Step 3: Cross multiply
    28,057x = 46,757 × 46,757
  4. Step 4: Simplify right side
    28,057x = 2,186,217,049
  5. Step 5: Solve for x
    x = 2,186,217,049/28,057
  6. Step 6: Final answer
    x = 77,920.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.