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Finding the Third Proportional to 19,410 and 27,326

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Solution

The third proportional to 19,410 and 27,326 is: 38,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410 : 27,326 = 27,326 : x
  2. Step 2: Convert to fraction form
    19,410/27,326 = 27,326/x
  3. Step 3: Cross multiply
    19,410x = 27,326 × 27,326
  4. Step 4: Simplify right side
    19,410x = 746,710,276
  5. Step 5: Solve for x
    x = 746,710,276/19,410
  6. Step 6: Final answer
    x = 38,470.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.