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Finding the Third Proportional to 10,326 and 16,411.75

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Solution

The third proportional to 10,326 and 16,411.75 is: 26,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326 : 16,411.75 = 16,411.75 : x
  2. Step 2: Convert to fraction form
    10,326/16,411.75 = 16,411.75/x
  3. Step 3: Cross multiply
    10,326x = 16,411.75 × 16,411.75
  4. Step 4: Simplify right side
    10,326x = 269,345,538.06
  5. Step 5: Solve for x
    x = 269,345,538.06/10,326
  6. Step 6: Final answer
    x = 26,084.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.