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Finding the Third Proportional to 10,326 and 22,308

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Solution

The third proportional to 10,326 and 22,308 is: 48,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326 : 22,308 = 22,308 : x
  2. Step 2: Convert to fraction form
    10,326/22,308 = 22,308/x
  3. Step 3: Cross multiply
    10,326x = 22,308 × 22,308
  4. Step 4: Simplify right side
    10,326x = 497,646,864
  5. Step 5: Solve for x
    x = 497,646,864/10,326
  6. Step 6: Final answer
    x = 48,193.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.