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Finding the Third Proportional to 30,491 and 47,520

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Solution

The third proportional to 30,491 and 47,520 is: 74,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491 : 47,520 = 47,520 : x
  2. Step 2: Convert to fraction form
    30,491/47,520 = 47,520/x
  3. Step 3: Cross multiply
    30,491x = 47,520 × 47,520
  4. Step 4: Simplify right side
    30,491x = 2,258,150,400
  5. Step 5: Solve for x
    x = 2,258,150,400/30,491
  6. Step 6: Final answer
    x = 74,059.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.