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Finding the Third Proportional to 12,834 and 14,724

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Solution

The third proportional to 12,834 and 14,724 is: 16,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 14,724 = 14,724 : x
  2. Step 2: Convert to fraction form
    12,834/14,724 = 14,724/x
  3. Step 3: Cross multiply
    12,834x = 14,724 × 14,724
  4. Step 4: Simplify right side
    12,834x = 216,796,176
  5. Step 5: Solve for x
    x = 216,796,176/12,834
  6. Step 6: Final answer
    x = 16,892.33

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.