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Finding the Third Proportional to 7,652 and 11,770

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Solution

The third proportional to 7,652 and 11,770 is: 18,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652 : 11,770 = 11,770 : x
  2. Step 2: Convert to fraction form
    7,652/11,770 = 11,770/x
  3. Step 3: Cross multiply
    7,652x = 11,770 × 11,770
  4. Step 4: Simplify right side
    7,652x = 138,532,900
  5. Step 5: Solve for x
    x = 138,532,900/7,652
  6. Step 6: Final answer
    x = 18,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.