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Finding the Third Proportional to 4,771 and 7,129

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Solution

The third proportional to 4,771 and 7,129 is: 10,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771 : 7,129 = 7,129 : x
  2. Step 2: Convert to fraction form
    4,771/7,129 = 7,129/x
  3. Step 3: Cross multiply
    4,771x = 7,129 × 7,129
  4. Step 4: Simplify right side
    4,771x = 50,822,641
  5. Step 5: Solve for x
    x = 50,822,641/4,771
  6. Step 6: Final answer
    x = 10,652.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.