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Finding the Third Proportional to 8,428 and 10,914

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Solution

The third proportional to 8,428 and 10,914 is: 14,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 10,914 = 10,914 : x
  2. Step 2: Convert to fraction form
    8,428/10,914 = 10,914/x
  3. Step 3: Cross multiply
    8,428x = 10,914 × 10,914
  4. Step 4: Simplify right side
    8,428x = 119,115,396
  5. Step 5: Solve for x
    x = 119,115,396/8,428
  6. Step 6: Final answer
    x = 14,133.29

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.