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Finding the Third Proportional to 10,026 and 14,326

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Solution

The third proportional to 10,026 and 14,326 is: 20,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 14,326 = 14,326 : x
  2. Step 2: Convert to fraction form
    10,026/14,326 = 14,326/x
  3. Step 3: Cross multiply
    10,026x = 14,326 × 14,326
  4. Step 4: Simplify right side
    10,026x = 205,234,276
  5. Step 5: Solve for x
    x = 205,234,276/10,026
  6. Step 6: Final answer
    x = 20,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.