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Finding the Third Proportional to 3,978 and 9,585

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Solution

The third proportional to 3,978 and 9,585 is: 23,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978 : 9,585 = 9,585 : x
  2. Step 2: Convert to fraction form
    3,978/9,585 = 9,585/x
  3. Step 3: Cross multiply
    3,978x = 9,585 × 9,585
  4. Step 4: Simplify right side
    3,978x = 91,872,225
  5. Step 5: Solve for x
    x = 91,872,225/3,978
  6. Step 6: Final answer
    x = 23,095.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.