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Finding the Third Proportional to 3,114 and 4,671

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Solution

The third proportional to 3,114 and 4,671 is: 7,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 4,671 = 4,671 : x
  2. Step 2: Convert to fraction form
    3,114/4,671 = 4,671/x
  3. Step 3: Cross multiply
    3,114x = 4,671 × 4,671
  4. Step 4: Simplify right side
    3,114x = 21,818,241
  5. Step 5: Solve for x
    x = 21,818,241/3,114
  6. Step 6: Final answer
    x = 7,006.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.