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Finding the Third Proportional to 3,534 and 7,764

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Solution

The third proportional to 3,534 and 7,764 is: 17,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 7,764 = 7,764 : x
  2. Step 2: Convert to fraction form
    3,534/7,764 = 7,764/x
  3. Step 3: Cross multiply
    3,534x = 7,764 × 7,764
  4. Step 4: Simplify right side
    3,534x = 60,279,696
  5. Step 5: Solve for x
    x = 60,279,696/3,534
  6. Step 6: Final answer
    x = 17,057.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.