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Finding the Third Proportional to 17,126 and 37,516

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Solution

The third proportional to 17,126 and 37,516 is: 82,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,126 : 37,516 = 37,516 : x
  2. Step 2: Convert to fraction form
    17,126/37,516 = 37,516/x
  3. Step 3: Cross multiply
    17,126x = 37,516 × 37,516
  4. Step 4: Simplify right side
    17,126x = 1,407,450,256
  5. Step 5: Solve for x
    x = 1,407,450,256/17,126
  6. Step 6: Final answer
    x = 82,182.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.