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Finding the Third Proportional to 7,168 and 7,648

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Solution

The third proportional to 7,168 and 7,648 is: 8,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 7,648 = 7,648 : x
  2. Step 2: Convert to fraction form
    7,168/7,648 = 7,648/x
  3. Step 3: Cross multiply
    7,168x = 7,648 × 7,648
  4. Step 4: Simplify right side
    7,168x = 58,491,904
  5. Step 5: Solve for x
    x = 58,491,904/7,168
  6. Step 6: Final answer
    x = 8,160.14

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.