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Finding the Third Proportional to 13,859.50 and 21,302

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Solution

The third proportional to 13,859.50 and 21,302 is: 32,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.50 : 21,302 = 21,302 : x
  2. Step 2: Convert to fraction form
    13,859.50/21,302 = 21,302/x
  3. Step 3: Cross multiply
    13,859.50x = 21,302 × 21,302
  4. Step 4: Simplify right side
    13,859.50x = 453,775,204
  5. Step 5: Solve for x
    x = 453,775,204/13,859.50
  6. Step 6: Final answer
    x = 32,741.09

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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.