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Finding the Third Proportional to 7,648 and 13,640

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Solution

The third proportional to 7,648 and 13,640 is: 24,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 13,640 = 13,640 : x
  2. Step 2: Convert to fraction form
    7,648/13,640 = 13,640/x
  3. Step 3: Cross multiply
    7,648x = 13,640 × 13,640
  4. Step 4: Simplify right side
    7,648x = 186,049,600
  5. Step 5: Solve for x
    x = 186,049,600/7,648
  6. Step 6: Final answer
    x = 24,326.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.