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Finding the Third Proportional to 22,766 and 46,666

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Solution

The third proportional to 22,766 and 46,666 is: 95,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,766 : 46,666 = 46,666 : x
  2. Step 2: Convert to fraction form
    22,766/46,666 = 46,666/x
  3. Step 3: Cross multiply
    22,766x = 46,666 × 46,666
  4. Step 4: Simplify right side
    22,766x = 2,177,715,556
  5. Step 5: Solve for x
    x = 2,177,715,556/22,766
  6. Step 6: Final answer
    x = 95,656.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.