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Finding the Third Proportional to 12,842 and 19,154

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Solution

The third proportional to 12,842 and 19,154 is: 28,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 19,154 = 19,154 : x
  2. Step 2: Convert to fraction form
    12,842/19,154 = 19,154/x
  3. Step 3: Cross multiply
    12,842x = 19,154 × 19,154
  4. Step 4: Simplify right side
    12,842x = 366,875,716
  5. Step 5: Solve for x
    x = 366,875,716/12,842
  6. Step 6: Final answer
    x = 28,568.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.