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Finding the Third Proportional to 5,914 and 9,678

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Solution

The third proportional to 5,914 and 9,678 is: 15,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 9,678 = 9,678 : x
  2. Step 2: Convert to fraction form
    5,914/9,678 = 9,678/x
  3. Step 3: Cross multiply
    5,914x = 9,678 × 9,678
  4. Step 4: Simplify right side
    5,914x = 93,663,684
  5. Step 5: Solve for x
    x = 93,663,684/5,914
  6. Step 6: Final answer
    x = 15,837.62

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.