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Finding the Third Proportional to 43,911 and 94,491

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Solution

The third proportional to 43,911 and 94,491 is: 203,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,911 : 94,491 = 94,491 : x
  2. Step 2: Convert to fraction form
    43,911/94,491 = 94,491/x
  3. Step 3: Cross multiply
    43,911x = 94,491 × 94,491
  4. Step 4: Simplify right side
    43,911x = 8,928,549,081
  5. Step 5: Solve for x
    x = 8,928,549,081/43,911
  6. Step 6: Final answer
    x = 203,332.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.