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Finding the Third Proportional to 12,146 and 19,218

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Solution

The third proportional to 12,146 and 19,218 is: 30,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 19,218 = 19,218 : x
  2. Step 2: Convert to fraction form
    12,146/19,218 = 19,218/x
  3. Step 3: Cross multiply
    12,146x = 19,218 × 19,218
  4. Step 4: Simplify right side
    12,146x = 369,331,524
  5. Step 5: Solve for x
    x = 369,331,524/12,146
  6. Step 6: Final answer
    x = 30,407.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.