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Finding the Third Proportional to 13,972 and 18,430

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Solution

The third proportional to 13,972 and 18,430 is: 24,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 18,430 = 18,430 : x
  2. Step 2: Convert to fraction form
    13,972/18,430 = 18,430/x
  3. Step 3: Cross multiply
    13,972x = 18,430 × 18,430
  4. Step 4: Simplify right side
    13,972x = 339,664,900
  5. Step 5: Solve for x
    x = 339,664,900/13,972
  6. Step 6: Final answer
    x = 24,310.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.