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Finding the Third Proportional to 3,725 and 7,262

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Solution

The third proportional to 3,725 and 7,262 is: 14,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725 : 7,262 = 7,262 : x
  2. Step 2: Convert to fraction form
    3,725/7,262 = 7,262/x
  3. Step 3: Cross multiply
    3,725x = 7,262 × 7,262
  4. Step 4: Simplify right side
    3,725x = 52,736,644
  5. Step 5: Solve for x
    x = 52,736,644/3,725
  6. Step 6: Final answer
    x = 14,157.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.