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Finding the Third Proportional to 10,324 and 11,780

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Solution

The third proportional to 10,324 and 11,780 is: 13,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 11,780 = 11,780 : x
  2. Step 2: Convert to fraction form
    10,324/11,780 = 11,780/x
  3. Step 3: Cross multiply
    10,324x = 11,780 × 11,780
  4. Step 4: Simplify right side
    10,324x = 138,768,400
  5. Step 5: Solve for x
    x = 138,768,400/10,324
  6. Step 6: Final answer
    x = 13,441.34

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.