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Finding the Third Proportional to 17,151 and 37,209

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Solution

The third proportional to 17,151 and 37,209 is: 80,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,151 : 37,209 = 37,209 : x
  2. Step 2: Convert to fraction form
    17,151/37,209 = 37,209/x
  3. Step 3: Cross multiply
    17,151x = 37,209 × 37,209
  4. Step 4: Simplify right side
    17,151x = 1,384,509,681
  5. Step 5: Solve for x
    x = 1,384,509,681/17,151
  6. Step 6: Final answer
    x = 80,724.72

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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.