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Finding the Third Proportional to 10,434 and 14,364

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Solution

The third proportional to 10,434 and 14,364 is: 19,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 14,364 = 14,364 : x
  2. Step 2: Convert to fraction form
    10,434/14,364 = 14,364/x
  3. Step 3: Cross multiply
    10,434x = 14,364 × 14,364
  4. Step 4: Simplify right side
    10,434x = 206,324,496
  5. Step 5: Solve for x
    x = 206,324,496/10,434
  6. Step 6: Final answer
    x = 19,774.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.