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Finding the Third Proportional to 7,334 and 17,725

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Solution

The third proportional to 7,334 and 17,725 is: 42,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334 : 17,725 = 17,725 : x
  2. Step 2: Convert to fraction form
    7,334/17,725 = 17,725/x
  3. Step 3: Cross multiply
    7,334x = 17,725 × 17,725
  4. Step 4: Simplify right side
    7,334x = 314,175,625
  5. Step 5: Solve for x
    x = 314,175,625/7,334
  6. Step 6: Final answer
    x = 42,838.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.