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Finding the Third Proportional to 17,518 and 37,495

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Solution

The third proportional to 17,518 and 37,495 is: 80,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,518 : 37,495 = 37,495 : x
  2. Step 2: Convert to fraction form
    17,518/37,495 = 37,495/x
  3. Step 3: Cross multiply
    17,518x = 37,495 × 37,495
  4. Step 4: Simplify right side
    17,518x = 1,405,875,025
  5. Step 5: Solve for x
    x = 1,405,875,025/17,518
  6. Step 6: Final answer
    x = 80,253.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.