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Finding the Third Proportional to 4,648 and 7,048

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Solution

The third proportional to 4,648 and 7,048 is: 10,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648 : 7,048 = 7,048 : x
  2. Step 2: Convert to fraction form
    4,648/7,048 = 7,048/x
  3. Step 3: Cross multiply
    4,648x = 7,048 × 7,048
  4. Step 4: Simplify right side
    4,648x = 49,674,304
  5. Step 5: Solve for x
    x = 49,674,304/4,648
  6. Step 6: Final answer
    x = 10,687.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.