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Finding the Third Proportional to 15,770 and 27,652

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Solution

The third proportional to 15,770 and 27,652 is: 48,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 27,652 = 27,652 : x
  2. Step 2: Convert to fraction form
    15,770/27,652 = 27,652/x
  3. Step 3: Cross multiply
    15,770x = 27,652 × 27,652
  4. Step 4: Simplify right side
    15,770x = 764,633,104
  5. Step 5: Solve for x
    x = 764,633,104/15,770
  6. Step 6: Final answer
    x = 48,486.56

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.