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Finding the Third Proportional to 8,962 and 19,154

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Solution

The third proportional to 8,962 and 19,154 is: 40,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962 : 19,154 = 19,154 : x
  2. Step 2: Convert to fraction form
    8,962/19,154 = 19,154/x
  3. Step 3: Cross multiply
    8,962x = 19,154 × 19,154
  4. Step 4: Simplify right side
    8,962x = 366,875,716
  5. Step 5: Solve for x
    x = 366,875,716/8,962
  6. Step 6: Final answer
    x = 40,936.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.