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Finding the Third Proportional to 7,427 and 16,495

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Solution

The third proportional to 7,427 and 16,495 is: 36,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 16,495 = 16,495 : x
  2. Step 2: Convert to fraction form
    7,427/16,495 = 16,495/x
  3. Step 3: Cross multiply
    7,427x = 16,495 × 16,495
  4. Step 4: Simplify right side
    7,427x = 272,085,025
  5. Step 5: Solve for x
    x = 272,085,025/7,427
  6. Step 6: Final answer
    x = 36,634.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.