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Finding the Third Proportional to 21,416 and 23,326

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Solution

The third proportional to 21,416 and 23,326 is: 25,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416 : 23,326 = 23,326 : x
  2. Step 2: Convert to fraction form
    21,416/23,326 = 23,326/x
  3. Step 3: Cross multiply
    21,416x = 23,326 × 23,326
  4. Step 4: Simplify right side
    21,416x = 544,102,276
  5. Step 5: Solve for x
    x = 544,102,276/21,416
  6. Step 6: Final answer
    x = 25,406.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.