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Finding the Third Proportional to 21,670 and 46,269

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Solution

The third proportional to 21,670 and 46,269 is: 98,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670 : 46,269 = 46,269 : x
  2. Step 2: Convert to fraction form
    21,670/46,269 = 46,269/x
  3. Step 3: Cross multiply
    21,670x = 46,269 × 46,269
  4. Step 4: Simplify right side
    21,670x = 2,140,820,361
  5. Step 5: Solve for x
    x = 2,140,820,361/21,670
  6. Step 6: Final answer
    x = 98,791.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.