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Finding the Third Proportional to 19,536 and 30,612

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Solution

The third proportional to 19,536 and 30,612 is: 47,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 30,612 = 30,612 : x
  2. Step 2: Convert to fraction form
    19,536/30,612 = 30,612/x
  3. Step 3: Cross multiply
    19,536x = 30,612 × 30,612
  4. Step 4: Simplify right side
    19,536x = 937,094,544
  5. Step 5: Solve for x
    x = 937,094,544/19,536
  6. Step 6: Final answer
    x = 47,967.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.