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Finding the Third Proportional to 7,736 and 18,124

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Solution

The third proportional to 7,736 and 18,124 is: 42,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736 : 18,124 = 18,124 : x
  2. Step 2: Convert to fraction form
    7,736/18,124 = 18,124/x
  3. Step 3: Cross multiply
    7,736x = 18,124 × 18,124
  4. Step 4: Simplify right side
    7,736x = 328,479,376
  5. Step 5: Solve for x
    x = 328,479,376/7,736
  6. Step 6: Final answer
    x = 42,461.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.