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Finding the Third Proportional to 13,925 and 20,119

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Solution

The third proportional to 13,925 and 20,119 is: 29,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925 : 20,119 = 20,119 : x
  2. Step 2: Convert to fraction form
    13,925/20,119 = 20,119/x
  3. Step 3: Cross multiply
    13,925x = 20,119 × 20,119
  4. Step 4: Simplify right side
    13,925x = 404,774,161
  5. Step 5: Solve for x
    x = 404,774,161/13,925
  6. Step 6: Final answer
    x = 29,068.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.