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Finding the Third Proportional to 7,770 and 17,652

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Solution

The third proportional to 7,770 and 17,652 is: 40,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770 : 17,652 = 17,652 : x
  2. Step 2: Convert to fraction form
    7,770/17,652 = 17,652/x
  3. Step 3: Cross multiply
    7,770x = 17,652 × 17,652
  4. Step 4: Simplify right side
    7,770x = 311,593,104
  5. Step 5: Solve for x
    x = 311,593,104/7,770
  6. Step 6: Final answer
    x = 40,102.07

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.