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Finding the Third Proportional to 13,493.63 and 18,869.25

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Solution

The third proportional to 13,493.63 and 18,869.25 is: 26,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.63 : 18,869.25 = 18,869.25 : x
  2. Step 2: Convert to fraction form
    13,493.63/18,869.25 = 18,869.25/x
  3. Step 3: Cross multiply
    13,493.63x = 18,869.25 × 18,869.25
  4. Step 4: Simplify right side
    13,493.63x = 356,048,595.56
  5. Step 5: Solve for x
    x = 356,048,595.56/13,493.63
  6. Step 6: Final answer
    x = 26,386.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.