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Finding the Third Proportional to 3,824 and 7,048

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Solution

The third proportional to 3,824 and 7,048 is: 12,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 7,048 = 7,048 : x
  2. Step 2: Convert to fraction form
    3,824/7,048 = 7,048/x
  3. Step 3: Cross multiply
    3,824x = 7,048 × 7,048
  4. Step 4: Simplify right side
    3,824x = 49,674,304
  5. Step 5: Solve for x
    x = 49,674,304/3,824
  6. Step 6: Final answer
    x = 12,990.14

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.