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Finding the Third Proportional to 13,592.50 and 20,899

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Solution

The third proportional to 13,592.50 and 20,899 is: 32,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.50 : 20,899 = 20,899 : x
  2. Step 2: Convert to fraction form
    13,592.50/20,899 = 20,899/x
  3. Step 3: Cross multiply
    13,592.50x = 20,899 × 20,899
  4. Step 4: Simplify right side
    13,592.50x = 436,768,201
  5. Step 5: Solve for x
    x = 436,768,201/13,592.50
  6. Step 6: Final answer
    x = 32,133.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.