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Finding the Third Proportional to 5,212.38 and 10,637

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Solution

The third proportional to 5,212.38 and 10,637 is: 21,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.38 : 10,637 = 10,637 : x
  2. Step 2: Convert to fraction form
    5,212.38/10,637 = 10,637/x
  3. Step 3: Cross multiply
    5,212.38x = 10,637 × 10,637
  4. Step 4: Simplify right side
    5,212.38x = 113,145,769
  5. Step 5: Solve for x
    x = 113,145,769/5,212.38
  6. Step 6: Final answer
    x = 21,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.