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Finding the Third Proportional to 3,857.50 and 4,262.50

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Solution

The third proportional to 3,857.50 and 4,262.50 is: 4,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.50 : 4,262.50 = 4,262.50 : x
  2. Step 2: Convert to fraction form
    3,857.50/4,262.50 = 4,262.50/x
  3. Step 3: Cross multiply
    3,857.50x = 4,262.50 × 4,262.50
  4. Step 4: Simplify right side
    3,857.50x = 18,168,906.25
  5. Step 5: Solve for x
    x = 18,168,906.25/3,857.50
  6. Step 6: Final answer
    x = 4,710.02

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.