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Finding the Third Proportional to 1,648 and 4,448

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Solution

The third proportional to 1,648 and 4,448 is: 12,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 4,448 = 4,448 : x
  2. Step 2: Convert to fraction form
    1,648/4,448 = 4,448/x
  3. Step 3: Cross multiply
    1,648x = 4,448 × 4,448
  4. Step 4: Simplify right side
    1,648x = 19,784,704
  5. Step 5: Solve for x
    x = 19,784,704/1,648
  6. Step 6: Final answer
    x = 12,005.28

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.