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Finding the Third Proportional to 19,064 and 30,436

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Solution

The third proportional to 19,064 and 30,436 is: 48,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064 : 30,436 = 30,436 : x
  2. Step 2: Convert to fraction form
    19,064/30,436 = 30,436/x
  3. Step 3: Cross multiply
    19,064x = 30,436 × 30,436
  4. Step 4: Simplify right side
    19,064x = 926,350,096
  5. Step 5: Solve for x
    x = 926,350,096/19,064
  6. Step 6: Final answer
    x = 48,591.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.