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Finding the Third Proportional to 6,402 and 14,725

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Solution

The third proportional to 6,402 and 14,725 is: 33,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 14,725 = 14,725 : x
  2. Step 2: Convert to fraction form
    6,402/14,725 = 14,725/x
  3. Step 3: Cross multiply
    6,402x = 14,725 × 14,725
  4. Step 4: Simplify right side
    6,402x = 216,825,625
  5. Step 5: Solve for x
    x = 216,825,625/6,402
  6. Step 6: Final answer
    x = 33,868.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.