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Finding the Third Proportional to 17,242 and 37,236

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Solution

The third proportional to 17,242 and 37,236 is: 80,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242 : 37,236 = 37,236 : x
  2. Step 2: Convert to fraction form
    17,242/37,236 = 37,236/x
  3. Step 3: Cross multiply
    17,242x = 37,236 × 37,236
  4. Step 4: Simplify right side
    17,242x = 1,386,519,696
  5. Step 5: Solve for x
    x = 1,386,519,696/17,242
  6. Step 6: Final answer
    x = 80,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.