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Finding the Third Proportional to 10,583 and 20,206

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Solution

The third proportional to 10,583 and 20,206 is: 38,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583 : 20,206 = 20,206 : x
  2. Step 2: Convert to fraction form
    10,583/20,206 = 20,206/x
  3. Step 3: Cross multiply
    10,583x = 20,206 × 20,206
  4. Step 4: Simplify right side
    10,583x = 408,282,436
  5. Step 5: Solve for x
    x = 408,282,436/10,583
  6. Step 6: Final answer
    x = 38,579.08

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.