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Finding the Third Proportional to 13,946 and 21,245.50

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Solution

The third proportional to 13,946 and 21,245.50 is: 32,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946 : 21,245.50 = 21,245.50 : x
  2. Step 2: Convert to fraction form
    13,946/21,245.50 = 21,245.50/x
  3. Step 3: Cross multiply
    13,946x = 21,245.50 × 21,245.50
  4. Step 4: Simplify right side
    13,946x = 451,371,270.25
  5. Step 5: Solve for x
    x = 451,371,270.25/13,946
  6. Step 6: Final answer
    x = 32,365.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.