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Finding the Third Proportional to 3,257 and 4,777

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Solution

The third proportional to 3,257 and 4,777 is: 7,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,777 = 4,777 : x
  2. Step 2: Convert to fraction form
    3,257/4,777 = 4,777/x
  3. Step 3: Cross multiply
    3,257x = 4,777 × 4,777
  4. Step 4: Simplify right side
    3,257x = 22,819,729
  5. Step 5: Solve for x
    x = 22,819,729/3,257
  6. Step 6: Final answer
    x = 7,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.