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Finding the Third Proportional to 9,671 and 15,164

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Solution

The third proportional to 9,671 and 15,164 is: 23,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671 : 15,164 = 15,164 : x
  2. Step 2: Convert to fraction form
    9,671/15,164 = 15,164/x
  3. Step 3: Cross multiply
    9,671x = 15,164 × 15,164
  4. Step 4: Simplify right side
    9,671x = 229,946,896
  5. Step 5: Solve for x
    x = 229,946,896/9,671
  6. Step 6: Final answer
    x = 23,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.