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Finding the Third Proportional to 4,577 and 4,865

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Solution

The third proportional to 4,577 and 4,865 is: 5,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 4,865 = 4,865 : x
  2. Step 2: Convert to fraction form
    4,577/4,865 = 4,865/x
  3. Step 3: Cross multiply
    4,577x = 4,865 × 4,865
  4. Step 4: Simplify right side
    4,577x = 23,668,225
  5. Step 5: Solve for x
    x = 23,668,225/4,577
  6. Step 6: Final answer
    x = 5,171.12

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.