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Finding the Third Proportional to 19,344 and 30,156

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Solution

The third proportional to 19,344 and 30,156 is: 47,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344 : 30,156 = 30,156 : x
  2. Step 2: Convert to fraction form
    19,344/30,156 = 30,156/x
  3. Step 3: Cross multiply
    19,344x = 30,156 × 30,156
  4. Step 4: Simplify right side
    19,344x = 909,384,336
  5. Step 5: Solve for x
    x = 909,384,336/19,344
  6. Step 6: Final answer
    x = 47,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.