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Finding the Third Proportional to 17,257 and 37,335

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Solution

The third proportional to 17,257 and 37,335 is: 80,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257 : 37,335 = 37,335 : x
  2. Step 2: Convert to fraction form
    17,257/37,335 = 37,335/x
  3. Step 3: Cross multiply
    17,257x = 37,335 × 37,335
  4. Step 4: Simplify right side
    17,257x = 1,393,902,225
  5. Step 5: Solve for x
    x = 1,393,902,225/17,257
  6. Step 6: Final answer
    x = 80,773.15

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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.