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Finding the Third Proportional to 10,914 and 15,370

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Solution

The third proportional to 10,914 and 15,370 is: 21,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 15,370 = 15,370 : x
  2. Step 2: Convert to fraction form
    10,914/15,370 = 15,370/x
  3. Step 3: Cross multiply
    10,914x = 15,370 × 15,370
  4. Step 4: Simplify right side
    10,914x = 236,236,900
  5. Step 5: Solve for x
    x = 236,236,900/10,914
  6. Step 6: Final answer
    x = 21,645.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.