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Finding the Third Proportional to 10,960 and 23,671

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Solution

The third proportional to 10,960 and 23,671 is: 51,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960 : 23,671 = 23,671 : x
  2. Step 2: Convert to fraction form
    10,960/23,671 = 23,671/x
  3. Step 3: Cross multiply
    10,960x = 23,671 × 23,671
  4. Step 4: Simplify right side
    10,960x = 560,316,241
  5. Step 5: Solve for x
    x = 560,316,241/10,960
  6. Step 6: Final answer
    x = 51,123.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.