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Finding the Third Proportional to 3,071 and 4,763

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Solution

The third proportional to 3,071 and 4,763 is: 7,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 4,763 = 4,763 : x
  2. Step 2: Convert to fraction form
    3,071/4,763 = 4,763/x
  3. Step 3: Cross multiply
    3,071x = 4,763 × 4,763
  4. Step 4: Simplify right side
    3,071x = 22,686,169
  5. Step 5: Solve for x
    x = 22,686,169/3,071
  6. Step 6: Final answer
    x = 7,387.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.