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Finding the Third Proportional to 30,584 and 47,270

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Solution

The third proportional to 30,584 and 47,270 is: 73,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584 : 47,270 = 47,270 : x
  2. Step 2: Convert to fraction form
    30,584/47,270 = 47,270/x
  3. Step 3: Cross multiply
    30,584x = 47,270 × 47,270
  4. Step 4: Simplify right side
    30,584x = 2,234,452,900
  5. Step 5: Solve for x
    x = 2,234,452,900/30,584
  6. Step 6: Final answer
    x = 73,059.54

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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.