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Finding the Third Proportional to 9,543 and 19,356

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Solution

The third proportional to 9,543 and 19,356 is: 39,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543 : 19,356 = 19,356 : x
  2. Step 2: Convert to fraction form
    9,543/19,356 = 19,356/x
  3. Step 3: Cross multiply
    9,543x = 19,356 × 19,356
  4. Step 4: Simplify right side
    9,543x = 374,654,736
  5. Step 5: Solve for x
    x = 374,654,736/9,543
  6. Step 6: Final answer
    x = 39,259.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.