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Finding the Third Proportional to 4,914 and 8,613

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Solution

The third proportional to 4,914 and 8,613 is: 15,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914 : 8,613 = 8,613 : x
  2. Step 2: Convert to fraction form
    4,914/8,613 = 8,613/x
  3. Step 3: Cross multiply
    4,914x = 8,613 × 8,613
  4. Step 4: Simplify right side
    4,914x = 74,183,769
  5. Step 5: Solve for x
    x = 74,183,769/4,914
  6. Step 6: Final answer
    x = 15,096.41

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.