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Finding the Third Proportional to 3,078 and 4,702

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Solution

The third proportional to 3,078 and 4,702 is: 7,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,702 = 4,702 : x
  2. Step 2: Convert to fraction form
    3,078/4,702 = 4,702/x
  3. Step 3: Cross multiply
    3,078x = 4,702 × 4,702
  4. Step 4: Simplify right side
    3,078x = 22,108,804
  5. Step 5: Solve for x
    x = 22,108,804/3,078
  6. Step 6: Final answer
    x = 7,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.