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Finding the Third Proportional to 19,652 and 30,476

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Solution

The third proportional to 19,652 and 30,476 is: 47,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652 : 30,476 = 30,476 : x
  2. Step 2: Convert to fraction form
    19,652/30,476 = 30,476/x
  3. Step 3: Cross multiply
    19,652x = 30,476 × 30,476
  4. Step 4: Simplify right side
    19,652x = 928,786,576
  5. Step 5: Solve for x
    x = 928,786,576/19,652
  6. Step 6: Final answer
    x = 47,261.68

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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.