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Finding the Third Proportional to 5,212 and 10,604

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Solution

The third proportional to 5,212 and 10,604 is: 21,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 10,604 = 10,604 : x
  2. Step 2: Convert to fraction form
    5,212/10,604 = 10,604/x
  3. Step 3: Cross multiply
    5,212x = 10,604 × 10,604
  4. Step 4: Simplify right side
    5,212x = 112,444,816
  5. Step 5: Solve for x
    x = 112,444,816/5,212
  6. Step 6: Final answer
    x = 21,574.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.