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Finding the Third Proportional to 13,419 and 14,391

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Solution

The third proportional to 13,419 and 14,391 is: 15,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 14,391 = 14,391 : x
  2. Step 2: Convert to fraction form
    13,419/14,391 = 14,391/x
  3. Step 3: Cross multiply
    13,419x = 14,391 × 14,391
  4. Step 4: Simplify right side
    13,419x = 207,100,881
  5. Step 5: Solve for x
    x = 207,100,881/13,419
  6. Step 6: Final answer
    x = 15,433.41

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.