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Finding the Third Proportional to 8,119 and 17,728

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Solution

The third proportional to 8,119 and 17,728 is: 38,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119 : 17,728 = 17,728 : x
  2. Step 2: Convert to fraction form
    8,119/17,728 = 17,728/x
  3. Step 3: Cross multiply
    8,119x = 17,728 × 17,728
  4. Step 4: Simplify right side
    8,119x = 314,281,984
  5. Step 5: Solve for x
    x = 314,281,984/8,119
  6. Step 6: Final answer
    x = 38,709.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.