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Finding the Third Proportional to 9,706 and 20,129

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Solution

The third proportional to 9,706 and 20,129 is: 41,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 20,129 = 20,129 : x
  2. Step 2: Convert to fraction form
    9,706/20,129 = 20,129/x
  3. Step 3: Cross multiply
    9,706x = 20,129 × 20,129
  4. Step 4: Simplify right side
    9,706x = 405,176,641
  5. Step 5: Solve for x
    x = 405,176,641/9,706
  6. Step 6: Final answer
    x = 41,744.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.