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Finding the Third Proportional to 20,906 and 32,790

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Solution

The third proportional to 20,906 and 32,790 is: 51,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906 : 32,790 = 32,790 : x
  2. Step 2: Convert to fraction form
    20,906/32,790 = 32,790/x
  3. Step 3: Cross multiply
    20,906x = 32,790 × 32,790
  4. Step 4: Simplify right side
    20,906x = 1,075,184,100
  5. Step 5: Solve for x
    x = 1,075,184,100/20,906
  6. Step 6: Final answer
    x = 51,429.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.