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Finding the Third Proportional to 12,378 and 19,146

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Solution

The third proportional to 12,378 and 19,146 is: 29,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 19,146 = 19,146 : x
  2. Step 2: Convert to fraction form
    12,378/19,146 = 19,146/x
  3. Step 3: Cross multiply
    12,378x = 19,146 × 19,146
  4. Step 4: Simplify right side
    12,378x = 366,569,316
  5. Step 5: Solve for x
    x = 366,569,316/12,378
  6. Step 6: Final answer
    x = 29,614.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.