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Finding the Third Proportional to 14,125.50 and 19,757.25

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Solution

The third proportional to 14,125.50 and 19,757.25 is: 27,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.50 : 19,757.25 = 19,757.25 : x
  2. Step 2: Convert to fraction form
    14,125.50/19,757.25 = 19,757.25/x
  3. Step 3: Cross multiply
    14,125.50x = 19,757.25 × 19,757.25
  4. Step 4: Simplify right side
    14,125.50x = 390,348,927.56
  5. Step 5: Solve for x
    x = 390,348,927.56/14,125.50
  6. Step 6: Final answer
    x = 27,634.34

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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.