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Finding the Third Proportional to 4,975 and 10,637

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Solution

The third proportional to 4,975 and 10,637 is: 22,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975 : 10,637 = 10,637 : x
  2. Step 2: Convert to fraction form
    4,975/10,637 = 10,637/x
  3. Step 3: Cross multiply
    4,975x = 10,637 × 10,637
  4. Step 4: Simplify right side
    4,975x = 113,145,769
  5. Step 5: Solve for x
    x = 113,145,769/4,975
  6. Step 6: Final answer
    x = 22,742.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.