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Finding the Third Proportional to 7,640 and 12,164

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Solution

The third proportional to 7,640 and 12,164 is: 19,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 12,164 = 12,164 : x
  2. Step 2: Convert to fraction form
    7,640/12,164 = 12,164/x
  3. Step 3: Cross multiply
    7,640x = 12,164 × 12,164
  4. Step 4: Simplify right side
    7,640x = 147,962,896
  5. Step 5: Solve for x
    x = 147,962,896/7,640
  6. Step 6: Final answer
    x = 19,366.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.