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Finding the Third Proportional to 19,711 and 23,356

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Solution

The third proportional to 19,711 and 23,356 is: 27,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711 : 23,356 = 23,356 : x
  2. Step 2: Convert to fraction form
    19,711/23,356 = 23,356/x
  3. Step 3: Cross multiply
    19,711x = 23,356 × 23,356
  4. Step 4: Simplify right side
    19,711x = 545,502,736
  5. Step 5: Solve for x
    x = 545,502,736/19,711
  6. Step 6: Final answer
    x = 27,675.04

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.