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Finding the Third Proportional to 19,416 and 30,012

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Solution

The third proportional to 19,416 and 30,012 is: 46,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 30,012 = 30,012 : x
  2. Step 2: Convert to fraction form
    19,416/30,012 = 30,012/x
  3. Step 3: Cross multiply
    19,416x = 30,012 × 30,012
  4. Step 4: Simplify right side
    19,416x = 900,720,144
  5. Step 5: Solve for x
    x = 900,720,144/19,416
  6. Step 6: Final answer
    x = 46,390.61

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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.