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Finding the Third Proportional to 14,402 and 19,141

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Solution

The third proportional to 14,402 and 19,141 is: 25,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402 : 19,141 = 19,141 : x
  2. Step 2: Convert to fraction form
    14,402/19,141 = 19,141/x
  3. Step 3: Cross multiply
    14,402x = 19,141 × 19,141
  4. Step 4: Simplify right side
    14,402x = 366,377,881
  5. Step 5: Solve for x
    x = 366,377,881/14,402
  6. Step 6: Final answer
    x = 25,439.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.