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Finding the Third Proportional to 17,725.50 and 37,287

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Solution

The third proportional to 17,725.50 and 37,287 is: 78,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.50 : 37,287 = 37,287 : x
  2. Step 2: Convert to fraction form
    17,725.50/37,287 = 37,287/x
  3. Step 3: Cross multiply
    17,725.50x = 37,287 × 37,287
  4. Step 4: Simplify right side
    17,725.50x = 1,390,320,369
  5. Step 5: Solve for x
    x = 1,390,320,369/17,725.50
  6. Step 6: Final answer
    x = 78,436.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.