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Finding the Third Proportional to 12,214 and 26,156

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Solution

The third proportional to 12,214 and 26,156 is: 56,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 26,156 = 26,156 : x
  2. Step 2: Convert to fraction form
    12,214/26,156 = 26,156/x
  3. Step 3: Cross multiply
    12,214x = 26,156 × 26,156
  4. Step 4: Simplify right side
    12,214x = 684,136,336
  5. Step 5: Solve for x
    x = 684,136,336/12,214
  6. Step 6: Final answer
    x = 56,012.47

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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.