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Finding the Third Proportional to 13,924 and 20,130

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Solution

The third proportional to 13,924 and 20,130 is: 29,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 20,130 = 20,130 : x
  2. Step 2: Convert to fraction form
    13,924/20,130 = 20,130/x
  3. Step 3: Cross multiply
    13,924x = 20,130 × 20,130
  4. Step 4: Simplify right side
    13,924x = 405,216,900
  5. Step 5: Solve for x
    x = 405,216,900/13,924
  6. Step 6: Final answer
    x = 29,102.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.