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Finding the Third Proportional to 5,720 and 10,048

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Solution

The third proportional to 5,720 and 10,048 is: 17,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 10,048 = 10,048 : x
  2. Step 2: Convert to fraction form
    5,720/10,048 = 10,048/x
  3. Step 3: Cross multiply
    5,720x = 10,048 × 10,048
  4. Step 4: Simplify right side
    5,720x = 100,962,304
  5. Step 5: Solve for x
    x = 100,962,304/5,720
  6. Step 6: Final answer
    x = 17,650.75

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.