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Finding the Third Proportional to 17,210 and 37,315

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Solution

The third proportional to 17,210 and 37,315 is: 80,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210 : 37,315 = 37,315 : x
  2. Step 2: Convert to fraction form
    17,210/37,315 = 37,315/x
  3. Step 3: Cross multiply
    17,210x = 37,315 × 37,315
  4. Step 4: Simplify right side
    17,210x = 1,392,409,225
  5. Step 5: Solve for x
    x = 1,392,409,225/17,210
  6. Step 6: Final answer
    x = 80,906.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.