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Finding the Third Proportional to 21,205 and 45,326

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Solution

The third proportional to 21,205 and 45,326 is: 96,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205 : 45,326 = 45,326 : x
  2. Step 2: Convert to fraction form
    21,205/45,326 = 45,326/x
  3. Step 3: Cross multiply
    21,205x = 45,326 × 45,326
  4. Step 4: Simplify right side
    21,205x = 2,054,446,276
  5. Step 5: Solve for x
    x = 2,054,446,276/21,205
  6. Step 6: Final answer
    x = 96,884.99

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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.