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Finding the Third Proportional to 4,911 and 10,914

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Solution

The third proportional to 4,911 and 10,914 is: 24,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 10,914 = 10,914 : x
  2. Step 2: Convert to fraction form
    4,911/10,914 = 10,914/x
  3. Step 3: Cross multiply
    4,911x = 10,914 × 10,914
  4. Step 4: Simplify right side
    4,911x = 119,115,396
  5. Step 5: Solve for x
    x = 119,115,396/4,911
  6. Step 6: Final answer
    x = 24,254.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.