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Finding the Third Proportional to 5,635 and 13,043

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Solution

The third proportional to 5,635 and 13,043 is: 30,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635 : 13,043 = 13,043 : x
  2. Step 2: Convert to fraction form
    5,635/13,043 = 13,043/x
  3. Step 3: Cross multiply
    5,635x = 13,043 × 13,043
  4. Step 4: Simplify right side
    5,635x = 170,119,849
  5. Step 5: Solve for x
    x = 170,119,849/5,635
  6. Step 6: Final answer
    x = 30,189.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.