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Finding the Third Proportional to 4,578 and 6,485

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Solution

The third proportional to 4,578 and 6,485 is: 9,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578 : 6,485 = 6,485 : x
  2. Step 2: Convert to fraction form
    4,578/6,485 = 6,485/x
  3. Step 3: Cross multiply
    4,578x = 6,485 × 6,485
  4. Step 4: Simplify right side
    4,578x = 42,055,225
  5. Step 5: Solve for x
    x = 42,055,225/4,578
  6. Step 6: Final answer
    x = 9,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.