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Finding the Third Proportional to 4,614 and 5,865

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Solution

The third proportional to 4,614 and 5,865 is: 7,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 5,865 = 5,865 : x
  2. Step 2: Convert to fraction form
    4,614/5,865 = 5,865/x
  3. Step 3: Cross multiply
    4,614x = 5,865 × 5,865
  4. Step 4: Simplify right side
    4,614x = 34,398,225
  5. Step 5: Solve for x
    x = 34,398,225/4,614
  6. Step 6: Final answer
    x = 7,455.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.