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Finding the Third Proportional to 13,969 and 18,982.50

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Solution

The third proportional to 13,969 and 18,982.50 is: 25,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969 : 18,982.50 = 18,982.50 : x
  2. Step 2: Convert to fraction form
    13,969/18,982.50 = 18,982.50/x
  3. Step 3: Cross multiply
    13,969x = 18,982.50 × 18,982.50
  4. Step 4: Simplify right side
    13,969x = 360,335,306.25
  5. Step 5: Solve for x
    x = 360,335,306.25/13,969
  6. Step 6: Final answer
    x = 25,795.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.