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Finding the Third Proportional to 2,751 and 4,230.50

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Solution

The third proportional to 2,751 and 4,230.50 is: 6,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751 : 4,230.50 = 4,230.50 : x
  2. Step 2: Convert to fraction form
    2,751/4,230.50 = 4,230.50/x
  3. Step 3: Cross multiply
    2,751x = 4,230.50 × 4,230.50
  4. Step 4: Simplify right side
    2,751x = 17,897,130.25
  5. Step 5: Solve for x
    x = 17,897,130.25/2,751
  6. Step 6: Final answer
    x = 6,505.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.