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Finding the Third Proportional to 27,417 and 37,152

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Solution

The third proportional to 27,417 and 37,152 is: 50,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 37,152 = 37,152 : x
  2. Step 2: Convert to fraction form
    27,417/37,152 = 37,152/x
  3. Step 3: Cross multiply
    27,417x = 37,152 × 37,152
  4. Step 4: Simplify right side
    27,417x = 1,380,271,104
  5. Step 5: Solve for x
    x = 1,380,271,104/27,417
  6. Step 6: Final answer
    x = 50,343.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.