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Finding the Third Proportional to 4,167 and 9,495

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Solution

The third proportional to 4,167 and 9,495 is: 21,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 9,495 = 9,495 : x
  2. Step 2: Convert to fraction form
    4,167/9,495 = 9,495/x
  3. Step 3: Cross multiply
    4,167x = 9,495 × 9,495
  4. Step 4: Simplify right side
    4,167x = 90,155,025
  5. Step 5: Solve for x
    x = 90,155,025/4,167
  6. Step 6: Final answer
    x = 21,635.48

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.